If the nth term of an ap is n-12 find the sum of its first 25 terms

Answers

Answer 1

The nth term Tn = n - 12 illustrates an arithmetic progression

The sum of the first 25 terms is 25

How to determine the sum of the terms?

The nth term is given as:

Tn = n - 12

Calculate the first term

a = 1 - 12

a = -11

Calculate the second term

T2 = 2 - 12

T2 = -10

Calculate the common difference (d)

d = T2 - a

d = -10 + 11

d = 1

The sum of n terms is then calculated as:

Sn = n/2(2a + (n - 1) * d)

So, we have:

S25 = 25/2(-2 * 11 + (25 - 1) * 1)

Evaluate

S25 = 25

Hence, the sum of the first 25 terms is 25

Read more about arithmetic progression at:

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Related Questions

Can anyone help me with this question please ?

Answers

Answer: hard work

Step-by-step explanation: I dint know what your learning but it’s not easy

Working alone, it takes Castel 12 hours to pick forty bushels of apples. Mei can pick the same amount in 10 hours. If they worked together how long would it take them?

Answers

Answer:

5.5 hours

Step-by-step explanation:

dibide by 2 one is 5 and one is 6, middle. is 5.5,

Write the following expressions without using absolute value.
|y-x|, if y>x

Answers

Answer:

y-x

Step-by-step explanation:

as y>X so y-x is positive

hence the required expression is y-x

Simplifying into an equivalent expression, fill in the missing pieces:

Answers

the answer would be 12 individuals

Solve for x.
-2(x + 74) = -158.00

Answers

Answer:

Hi I'm always here to help!!!

___________________________

x = 5

___________________________

Have a great day!!!!!!!

In this equation, x equals 5.

1. Find the length of the arc shown in red:
2. Find the area of the circle:

Answers

Answer:

Step-by-step explanation:

this morning carlos enters the room late. the distance from the road from their house to the school is 100 meters but he could travel it for 50 seconds what is his speed

Answers

Answer:

2 m/s or 7.2 km/h

Step-by-step explanation:

Time = 50 seconds

Distance = 100 meters

Velocity = distance/time = 100/50 = 2 m/s or 7.2 km/h

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple{ \rm{Given↦}}[/tex]

Distance by road from their house to the school is 100 m.Time Given 50 sec

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{To \: find↦}}[/tex]

Carlos speed

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple { \rm{Assumption↦}}[/tex]

let the speed be x

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple { \rm{ To \: find \: speed \: we \: use↦}}[/tex]

[tex] {\boxed{ \rm{Speed= \frac{ Distance } {Time}}}}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{Substitute \: value \: according \: to \: formula. \: }}[/tex]

[tex] \large \rm{s = \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = \cancel \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = 2 m/s \: or \: 7.2km/h }[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

please help! pleaseeeeee​

Answers

Step-by-step explanation:

First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154

someone explain how to do this please
A: square root of 96
B: square root of 48
C:square root of 16
D:8

Answers

You start by using the bottom side and dividing it by 2 as it is separated by a bisector making both sides equal. This isolates one triangle making the sides 4, 8, and x. You then use Pythagorean theorem and solve for x.

8 squared - 4 squared = 48
The next step is getting the square root of the result. Thus revealing B as the answer.

Answer:

B. Square root of 48

Step-by-step explanation:

Using Pythagorean theorem. A^2 = B^2 + C^2

4^2 + x^2 = 8^2

16 + x^2 = 64

x^2 = 48

x = square root of 48

Grade 9 maths!!! Due tonight

Answers

Answer:

a. 7 by 21

b. a(-12, 2), b(-12, -5), c(9, -5)

Step-by-step explanation:

AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.

Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21.  Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).

solve pls brainliest

Answers

Answer:

2n+22

Step-by-step explanation:

22 more than twice a number

n represents the number.

twice a number --> 2n

22 more than --> +22

2n+22

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <

• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.


ANYWAYS, LETS ANSWER the QUESTION

“22 more than 2 twice a number”


• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!

“22 MORE THAN twice a NUMBER”


This could be simply written as:

“22 > 2n” or even “2n + 22”


But we will just say that’s [2n + 22] would mostly fit this scenario


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

If f(x) = x2 – 2, then which of the following is the value of f(3)
(1) -11
(3) -8
(2) 7
(4) 4

Answers

Answer: 7

Step-by-step explanation:

This means we substitute x=3 into f(x).

f(3) = 3^2 - 2 = 7.

what's the periotic table

Answers

Answer:

the table in which element are systematically arranged into various period based on their similar properties is called periodic table

Answer: it is a table of all the elements and shows you all the abbreviations for each one.

Step-by-step explanation:

there is a picture attached if you want to see what it looks like.

It basically just tells and shows you about all the different materials and/or elements.

Hope this helps! :)

Find the measures of the
4 22.
140°
to
110°
i just need 22 and 23 pls

Answers

Answer:

Absolute Value measures the distance a number is from zero on the number line. ... 20) 2 - 5 = -3 21) -7+4 = -3 22) 20 - 15 = 5 23) -11 - 20 = -31

Step-by-step explanation:

Can pls someone help me? and show how it did it?

Answers

Answer:

You have no image so how could i solve?

Step-by-step explanation:

PLEASE HELP!!! I am stuck!!

How do I get question c)


Answers

Answer:

When the actual temperature is -14 degrees Celsius, the wind chill equivalent temperature would be -22.2 degrees Celsius.

When the actual temperature is 3 degrees Celsius, the wind chill equivalent temperature would be 0.6 degrees Celsius.

Step-by-step explanation:

There is a + 1.2 pattern going right.  So each time you increase the actual temperature by 1, you increase the wind chill equivalent temperature by 1.2

PLEASE HELP!!! Sari stood at a point measured 20 meters away from the base of building A. Turning 40° to building B, she determined that the base
of that building was 25 meters away. How far apart were the buildings? Use a calculator if needed.

Answers

Answer:

x = 16.71m

Step-by-step explanation:

KL² = KX² + LX² - 2KX × LX × cos(KXL)

x² = 26² + 20² - 2 × 26 × 20 × cos(40°)

x = 16.713m 16.71m

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Find the distance between the points (-5,-3) and (0,9). Round your answer to one decimal place, if necessary.

Answers

√(0+5)^2+(9+3)^2. …two negatives make a positive so that’s how both 3 and 5 got flipped to positive.


√ 5^2+(9+3)^2. Remove the 0 since 5+0=5

√25+12^2. Evaluate

√ 25+134. Then just add

√ 169. Evaluate

13 is the answer

contractor charges $1,200 for 100 square feet of roofing installed. At this rate, how much does it cost to have 1,100 square feet installed?

Answers

Answer:

1200

Step-by-step explanation:

Answer:

$13200

Step-by-step explanation:

1200$ = 100

? =1100

(1200*1100) ÷ 100

(1 320 000) ÷100

$13200

PLEAASE SOMEONE HELP ME IM SO STUCK

finish the table using the equation y= x/2

Answers

First one is 0 second is 1 third is 2 and fourth is 3 hope it helps

Let dnbe the number of n-digit positive integers using only the digits 1, 2, 3, 4, 5, 6, or 7 (with repetition permitted), such that no two consecutive digits are even

Answers

The nth term of the sequence whose integers are between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

What are consecutive numbers?

Consecutive numbers are those numbers that succeed each other in increasing order from least to greatest. The numbers that are given:

1, 2, 3, 4, 5, 6, or 7 are all consecutive.

Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:

1, 2, 3, 4, 5, 6, or 7 with the permission of repetition; no two consecutive digits are even.

Then, the number of n can be computed as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

Learn more about consecutive numbers here:
https://brainly.com/question/26352026

The nth term of the series of integers is between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹

What are consecutive numbers?

Consecutive numbers are those numbers that succeed by each other in increasing order from lowest to greatest such are 1, 2, 3, 4, 5, 6, or 7.

Now, suppose n represents the number of n-digit positive integers.

1, 2, 3, 4, 5, 6, or 7 with the permission of repetition no two consecutive digits are even.

Then, the number of n can be calculated as n!

= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

= 1.254 × 10¹¹

Learn more about consecutive numbers here:

brainly.com/question/26352026

#SPJ4

∠C and ∠D are complementary.

Let m∠C=(5x)° and m∠D=(7x−6)°.

What is the value of x?

Enter your answer in the box. 10 points!!

Answers

Answer:

x = 8

Step-by-step explanation:

The sum of the measures of two complementary angles is 90°.

m<C + m<D = 90°

5x + 7x - 6 = 90

12x = 96

x = 8

Jin's family took a road trip to Niagara Falls. Jin slept for the last 24 miles of the trip. If the total length of the trip was 400 miles, what percentage of the total trip had they travelled when Jin fell asleep?

Answers

22% is the answer for your question

Find the volume of the prism.

Answers

Answer:

the volume is 210

Step-by-step explanation:

length x width x height

length=6

width=5

height=7

6 x 5 = 30

30 x 7 = 210

Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!

Answers

Answer:

Transitive property

Step-by-step explanation:

I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!

Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. b. c. d. e.

Answers

The probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

[tex]\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}[/tex]

Hence the probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

To learn more about the probability link is given below.

https://brainly.com/question/795909

Answer:

Option D is the correct answer

Step-by-step explanation:

D. [tex]\frac{1}{5}[/tex]

Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.

If Moses ran 8 laps, how many laps did Louis run?

Answers

It’s 12 I from what I think
Answer:12

Step-by-step explanation: the ratio was two to three Moses ran 8 laps meaning 2 multiplied by 4 now you multiply 3 times 4 to get your answer

Pls answer
5= -5 (6n + 8)

Answers

Answer:

the value of n is -1.5

Step-by-step explanation:

I hope the question was to find the unknown.

Answer:

n= -3/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n=−32

Decimal Form:

n=-1.5

Mixed Number Form:

n=−112

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. which of the following equations can be used to model the height as a function of time, t, in hours? assume that the time at t = 0 is 12:00 a.m. h = 0.5 cosine (startfraction pi over 12 endfraction t) 9.5 h = 0.5 cosine (startfraction pi over 6 endfraction t) 9.5 h = cosine (startfraction pi over 12 endfraction t) 9 h = cosine (startfraction pi over 6 endfraction t) 9

Answers

The equation can be used to model the height as a function is[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]  where t is time, the second option is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the general equation for the cosine function:

[tex]\rm y = A\ cos(bx-c)+d[/tex]

Where A is the amplitude

We have a wall clock that varies from 9 feet to 10 feet.

The value of 'A' is given by:

[tex]\rm A = \frac{10-9}{2} \Rightarrow 0.5[/tex]

b is the cycle speed, we know:

[tex]\rm T = \frac{2\pi}{b}[/tex]   (T is period)

[tex]\rm12 = \frac{2\pi}{b}[/tex]

[tex]\rm b=\frac{\pi}{6}[/tex]

The value of d is given by:

[tex]\rm d = \frac{10+9}{2}[/tex]

d = 9.5

The equation can be modeled:

[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]   (c =0 and y =h)

Thus, the equation is  [tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]

Know more about trigonometry here:

brainly.com/question/26719838

Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5

Step-by-step explanation: edge :)

WILL GIVE BRAINLIEST Can someone please help me with this and explain???!:))) thank you:))))

Answers

Answer:

See below ↓

Step-by-step explanation:

Part A

One revolution = circumference= πd= 22/7 x 56= 22 x 8= 176 feet

Part B

Entire ride = 15 x 1 revolution= 15 x 176= 2640 feet
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