The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?​

Answers

Answer 1
You can just use the tn formula to solve this tn= t1 + (n-1)d
Answer 2

The sum of 21 terms is -1080.

What is Arithmetic Progression?A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

given:

- 18, - 15,-12.....

First term, a= -18

common difference, d= -15 + 18= -3

So, [tex]S_{21[/tex] = 21/2 [ 2(-18)+ (21- 1) (-3)]

[tex]S_{21[/tex] = 21/2 [ -36 + (20) (-3)]

[tex]S_{21[/tex] = 21/2 [ -36 - 60]

[tex]S_{21[/tex] = 21/2 (-96)

[tex]S_{21[/tex] = 21 x (-48)

[tex]S_{21[/tex] = -1008

Hence, the sum of 21 terms is -1080.

Learn more about Arithmetic progression here:

https://brainly.com/question/16947807

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Related Questions

ay+2a=b solve for a, thanks

Answers

Answer:

ay+2a=b

a(y+2)=b (taking a common)

or,a=b/y+2

rani is 8 years older than Shweta and the sum of their ages is 26. find their ages​

Answers

Answer:

Rani is 34 because she's older.

Shweta is 26. 6 year difference.

What would be the range of possible whole number values (x) for a 3rd side of the triangle with two sides of 5 in. and 8 in.?

Answers

Answer:

ano pon sabi ng teacher nyo

Step-by-step explanation:

kasi wla nmn explanation

please someone help me with this! Giving brainliest :)

Answers

Answer:

[tex]n=3[/tex]

Step-by-step explanation:

Note that [tex]2^5*5^2=2^3*2^2*5^2=2^3*(2*5)^2=2^3*10^2[/tex].

Aha! We see a path to the solution!

We now know that our equation is actually [tex]2^3*10^2=2^{n}*10^2[/tex].

We can divide both sides by [tex]10^2[/tex] to get [tex]2^3=2^{n}[/tex].

By inspection or taking the logarithm base 2 of both sides, we see that [tex]3=n[/tex].

So, the answer is [tex]\boxed{n=3}[/tex] and we're done!

whats your zodiac sign 100 points first to answer gets brainliest

Answers

Answer:

I'm a Cancer lol.

Step-by-step explanation:

Answer:

My zodiac sign is Scorpius (Scorpion) since my birthday is on the 12th of November

Step-by-step explanation:

Math?? anybody somebody please help




100 points worth

Answers

Answer:

c

Step-by-step explanation:

2^4=16

(16-8)/16=8/16=1/2

2^4-8/16 = 1/2 so c

f(x) = 3x^2+ 4x^2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

The answer is D. 3x^3+4x^2-11x+3

Question 21 of 25
In the triangle below, what is the length of the side opposite the 30° angle? 30° 60°
A. 34/3
B. 3/2
C. SQR ROOT of 3
D. 2-3​

Answers

Answer:

[tex] \frac{3}{2} [/tex]

Step-by-step explanation:

30

[tex] \frac{30}{60 \:} 3 \\ \frac{3}{2} [/tex]

30 or 60 ko kat do 10 ka table me answer

[tex] \frac{3}{2} [/tex]

Can someone help me with this I'm confused ​

Answers

Answer:

bro sorry I can't help

Step-by-step explanation:

follow me mark as brainleast

Write an equation for a function that has a slope of 3 and that passes through the point (8, 14).

Answers

Answer:

[tex]f(x)=3x-10[/tex]

Step-by-step explanation:

Recall point-slope form: Given a point [tex](x_{1}, y_{1})[/tex] and the slope [tex]m[/tex], the equation for the line is [tex]y-y_{1}=m(x-x_{1})[/tex].

We can plug in for our point and slope!

The equation for the line is [tex]y-14=3(x-8)[/tex].

Distributing the right side gives [tex]y-14=3x-24[/tex].

Adding [tex]14[/tex] to both sides gives [tex]y=3x-10[/tex].

So, the function is [tex]\boxed{f(x)=3x-10}[/tex] and we're done!

need help thank you and please show work!

Answers

Answer:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtract

Step-by-step explanation:

[6-4]+16

[2]+16

18

The final answer is 18

asap pls help me i will give 30 points

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The rational values are :

[tex] - \dfrac {1}{16} [/tex]

and

[tex]0[/tex]

The Irrational values are :

[tex] \sqrt{3} [/tex]

and

[tex] \sqrt{2} [/tex]

Answer:

hello i want 30 ponits and by the way im a 4th grader and lets be friends

What is matter?

Anything that has mass and takes up space
Something that has volume and takes up space
Things that have energy and take up space
Things that take up space but don't have mass

Answers

anything that has mass and takes up space

help you awesome people

Answers

Answer:

9

Step-by-step explanation:

This is because it is the number being multiplied

Hope this helps!

Answer: 9^2 or can also be read as 9 squared.The base itself is worth 9 but when you include the exponent its 81.When your solving exponents your multiplying the base by itself as many times as the exponent reads.In this case its 9x9 (2 times). The value of the base is 9 (just wanted to explain the other stuff just in case you didn't know)

have a good day :)

Two fifth of pupils in a standard 7 class were girls.There were 27 boys in the class. ( a) how many girls were there. (b) how many peoples were there in the standard 7 class​

Answers

Answer:

a. 18

b. 45

Step-by-step explanation:

The question states that 2/5 of the class are girls which means 3/5 are boys:

[tex]\frac{3}{5} = 27[/tex]

Divide this value by 3 to get the value of [tex]\frac{1}{5}[/tex]:

27 ÷ 3 = 9

Multiply this by 5 to find [tex]\frac{5}{5}[/tex], the total pupils in the class:

9 x 5 = 45

As the number of girls is [tex]\frac{2}{5}[/tex] of the total pupils:

9 x 2 = 18

So there are 18 girls in the class which has a total pupil size of 45.

Hope this helps!

Step-by-step explanation:

according to question of are girls than are boys

so let the number of girls be x

so,

of x = 27

x = 27 × 5/3 = 9×5 = 45

x = 45

a ) 45 - 27 = 18

than no. of girls is 18.

b) thier are 45 students in total.

hope this answer helps you dear...take care and may u have a great day ahead!

SHOW ALL WORK : A metal bar has a length of 5.0 cm, a width of 3.0 cm, and a height of 1.0 cm. What volume of water, measured in deciliters, would this bar displace?

Answers

9514 1404 393

Answer:

  0.15 dL

Step-by-step explanation:

The volume of the bar is ...

  V = LWH

  V = (5 cm)(3 cm)(1 cm) = 15 cm³

1 dL = 100 cm³, so this volume is ...

  (15 cm³)(1 dL)/(100 cm³) = 0.15 dL

The bar will displace 0.15 deciliters.

Help if yk plz and thanks

Answers

Answer:

I am pretty sur it is 3

Step-by-step explanation:

Answer:

3f

Step-by-step explanation:

The expression given is f + f + f.

f + f + f = f × 3

The correct way to write an expression that is being multiplied is to put the number before it with no symbols or spaces in between them:

f + f + f =

f × 3 =

3f

(3√81)/(3√24)rationalize the dominator and simplify

Answers

The answer is 3 times squared root of 6 divided by 4

Answer:

3√6/4 or 1.84

Step-by-step explanation:

It takes Tanmy 45 Min To ride her bike 5 miles, At this rate, How long will it take her to ride 8 miles?1) 0.89 hour2)1.125 hours3) 48 Min4) 72 Min

Answers

Answer: 72 min (answer 4)

Step-by-step explanation:

if it takes tammy 45 min to do 5 miles then it takes her 9 minutes to do 1 mile so 9*8=72

what would be the measure of <a.​

Answers

A = C = 127, B = 53. For a grand total of 360 which is constant

Answer:

360 is the constant

Step-by-step explanation:

Some diets experts recommend drinking 2 litres of water each day. How many 240ml glasses of water should a person drink each day to follow this recommendation

Answers

Answer:

4

Step-by-step explanation:

a guess the answers to your liking you illegally parked in the gc and it's attachments if any

1 liter is 1,000ml, which means 2 liters is 2,000ml. You divide 2,000 by 240 and you get your answer, which is 8.33333333

What is the least common denominator of 1/2 and 17/20

Answers

17/40 I think cause if u time 1 and 17 it’s 17 and 2 times 20 40

__% of 4 is 7

Please help

Answers

Answer:

175%

Step-by-step explanation:

1. To find how much a percent of a number is, we'd just have to multiply the percent by the number. However, in this case, we're missing the percentage.

2. To find that percentage, we can write an equation of [tex]\frac{x}{100} * 4 = 7[/tex] because "of 4" means to multiply by 4, and "is 7" means that the product is 7.

3. Now, let's solve our equation.

[tex]\frac{x}{100} * 4 = 7[/tex]

Step 1: Simplify both sides of the equation.

[tex]\frac{4}{100}x = 7[/tex] [tex]\frac{1}{25}x=7[/tex]

Step 2: Multiply both sides by 25.

[tex]\frac{1}{25}x * 25 = 7 * 25[/tex] [tex]x = 175[/tex]

Step 3: Check to see if solution is correct.

[tex]\frac{175}{100} * 4 = 7[/tex] [tex]\frac{700}{100} = 7[/tex] [tex]7 = 7[/tex]

Therefore, the answer is 175%.

Please help me w this

Answers

Answer:

I can't give answer i don't have but....

percentage is similar to division.

The total would be $18.74.

3 1/2 divided by 50 1/4?

Answers

14/201, hope that helps
The correct answer is 14/201

what is 6-11a>-49 and 5a+10≥-35 will mark brainliest

Answers

Step-by-step explanation:

6-11a>-49

-11a>-49-6

-11a>-55

a<5.

Now, according to the question, if it is

W = {0,1,2,3,4}

N = {1,2,3,4}

Z = {...,-2,-1,0,1,2,3,4}

5a+10≥-35

5a≥-35-10

5a≥-45

a≥-9.

Now, according to the question, if it is

W = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}

Z = {-9,-8,-7,-6,-5,-4,-3,-2,-1,01,2,3...}

Now, according to your domain you will do it .

hope this helps you.

find the value of x and y. SHOW WORK​

Answers

Answer:

y = 35

x = 21

Step-by-step explanation:

y+75 = 3y+5

75 - 5 = 3y - y

70 = 2y

y = 70/2

y = 35

3x+7 = 5x-35

7 + 35 = 5x - 3x

42 = 2x

x = 42/2

x = 21

check:

(3x+7) + (y+75) + (5x-35) + (3y+5) = 360

(3*21 + 7) + (35 + 75) + (5*21 - 35) + (3*35 + 5) = 360

(63+7) + (110) + (105-35) + (105+5) = 360

70 + 110 + 70 + 110 = 360

Work out the angle of x 97degrees

Answers

Answer:

Answer is 3x

Step-by-step explanation:

someone hurry i need to know this question

Answers

Answer:

- 9/35

Step-by-step explanation:

need an answer asap!!

Answers

Answer:

C SAS

Step-by-step explanation:

I am to lazy to write the explanation but it's C if I am right if not i need hdlp

Answer:

its C

Step-by-step explanation:

I don't know how to explain it but i took a test and it had this answer

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