Find the 54th term of the arithmetic sequence —2,-8,-14, ...

Answers

Answer 1

Answer:

-320

Step-by-step explanation:

You would first create an explicit formula for the provided sequence.

The basic explicit formula for arithmetic sequences is , [tex]a_{n} = d(n-1) + a_{1}[/tex]where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.

We would then substitute the values given.

We are trying to solve the value of the 54th term. This makes n = 54. The first number of the sequence is -2, so a1 is -2. Finally, d is -6 because we are subtracting 6 to each number in the sequence.

Therefore, our resulting equation would be[tex]a_{n} =-6(54-1)-2[/tex] , which equals -320.

Answer 2

Answer:

-320.

Step-by-step explanation:

n54 = a1 + d(54 - 1)

Here a1 = -2 and d = -8 - (-2) = -6.

So 54th term = -2 + -6*53

= -320.


Related Questions

You start at (-3, 0). You move right 3 units and down 5 units. Where do you end?

Answers

Answer:

(0,-5)

Step-by-step explanation:

Consider f(x)=2|x|
What is the rate of change over the interval 0≤x≤4?

How is the rate of change over this interval related to the form of the function?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As we know that the average rate of change of f(x) in the closed

interval [a, b] is

[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]

Given the interval [a, b] = [0, 4]

as

[tex]f(x)=2|x|[/tex]

[tex]f(b)=f(2)=2\cdot \:4[/tex]       ∵  [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]

      [tex]= 8[/tex]

   

[tex]f(x)=2|x|[/tex]

[tex]f(a)=f(0)=2\cdot \:0[/tex]       ∵  [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]

       [tex]= 0[/tex]

so the average rate of change  :

[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}[/tex]

              [tex]=\frac{8}{4}[/tex]

               [tex]= 2[/tex]

We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.


PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!

DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.

Answers

Answer:

2/3

Step-by-step explanation:

DEFG ~ D'E'F'G'

[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]

In order to measure the height of a statue, Jill holds a square up to her eye and lines up each side with the top and bottom of the statue. If her eye is 5’2” above the ground and she stands 10 feet away from the statue, how tall is the statue?

Answers

GOOD LUCK! NYAYAYAYAYA

can i have some help

Answers

Answer:

b. m = 2, b = 4

Step-by-step explanation:

y = mx + b

m = slope and b = y-intercept

The slope is 2 cause it's going up 2 squares while only going to the right one square each time, so u could right 2/1 but it's not necessary so just 2. And the intercept is 4 because that's where the line intercepts the y-axis.

-x + y = 2
3х – 5у = -4
solve the system of linear equation by substitution

Answers

X=-2 + y
X=5y-4/3
):):):$/&&$:$:jsjshdhhdgshshshsj

Sara has $75 to spend on clothes. She wants to buy a pair of jeans that cost $27 and spend
the rest on t-shirts. Each t-shirt costs $8. How many t-shirts can Sara afford to buy?

Answers

Sara can afford 6 t-shirts

Complete the statement, then write the postulate you used.

Please help! I’ll give brainliest!

Answers

The answer is MN with a bar/line on top of it

HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)

Answers

Answer:

A

Step-by-step explanation:

Find three consecutive integers where the sum of the first and the twice second is 5.

Answers

Answer:

1,2, and 3

Step-by-step explanation:

1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.

If z = 13 - 71, what is the value of z?
BE
O 6
O 2/30
218
O 20

Answers

Answer:

z=-58 bc 13-71= -58

Step-by-step explanation:

z=13-71
z=13+-71
z=(13+-71)
Combine like terms
z=-58

the square root of 90 is it closer to 9 or 10

Answers

Answer:

9

Step-by-step explanation:

9² = 81

10² = 100

81 ... 90 ... 100

90 - 81 = 9

100 - 90 = 10

9 is less than 10

Hence, √90 is closer to 9

*10 points* ANSWER ASAP WILL MARK AS BRAINLIEST!!

Do you have to regroup to find each sum?
Choose Yes or No.
38 + 12
29 + 15
28 + 7
27 + 12

Answers

Answer:

1) yes

2)yes

3) yes

4) no

Step-by-step explanation:

URGENT AND 2 QUICK SIMPLE QUESTION

Answers

Answer:

D, B

Step-by-step explanation:

You can plug all the numbers in a calculator!! The larger the negative number, the more to the left it goes, while the larger the positive number, the more to the right it goes!

Plsss help mee :,) ill give brainlist

Answers

Answer:

3/5, 1, 8/5, 8

Step-by-step explanation:

Answer:

0, 35, 8/5, 8.  I think

Step-by-step explanation:

hope this helps :3

im sorry if im wrong

One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed

Answers

Answer:

D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed

Step-by-step explanation:

Equation for the volume and solution:

7/8x - 8 = 216 7/8x = 216 + 87/8x = 224x = 224*8/7x = 256 cm³

Correct option is D.

Answer:

D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed

What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run

Answers

[tex]y=mx+b[/tex]

where m is slope

and b is y-intercept

m represents the slope of the graph in y = mx + b

HELP ASAPPP!!! !!!! PLEASE

Answers

Answer:

B.

Step-by-step explanation:

for decimals, you start with tenths, so it would be thousandths

The answer is A. Because it is in the thousands

Help please!! If you can't see the photo well just let me know <3​

Answers

Answer: The second one and fourth one.      

Step-by-step explanation: did this already and got it right :)

Which figure shows a single ray

Answers

there are no figures shown.

Post another time with the picture

Question 1 of 5 Convert 48 inches to feet. There are 12 inches in a foot. O A. 480 feet O B. 576 feet O C. 4 feet O D. 8 feet​

Answers

Answer:

C

Step-by-step explanation:

If you divide 48 by 12 you will get 4 and 4 is your answer

6x + 21y = 103
-6x + 23y = 51

Answers

Hope that helps you :))

Use inverse operations to solve: x + 3.2 = 7

Answers

Answer:

x=3.8

Step-by-step explanation:

You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8

This​ week, 957 people went to the beach. Last​ week, 1,207 people went to the beach. The number of people who went to the beach fell by what​ percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than​ 25%

Answers

Answer:

Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

Step-by-step explanation:

Simplify the given expression below: (2 points) 2 divided by the quantity of 2 plus 5i

Answers

Answer: The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.

2/(2+5√-1)

then multiply it by 2-5√-1 on the numerator and denominator and we have

[2(2 - 5√-1)] / [4 - 25(1)]

(4-10√-1)/(-21)

Answer:7

Step-by-step explanation:

i need helpp please help me.

Answers

Answer:

B and C

Step-by-step explanation:

Option B and Option C

Expand it and you'll get 12 + 12 * 0.25 and the question says she ran 0.25 of the distance she ran before.

Hence, Option B and Option C would be correct

What's 3% as a decimal?

Answers

Answer:

0.03

Step-by-step explanation:

3% is 3100 . so all you have to do is calculating 3100 ; which is 0.03 (skipping 2 decimal places from the number 3 to the left).

Answer:

0.03

Step-by-step explanation:

mulitply 3 x 100

Yosef typed a 54 word paragraph in 2/3 minute. What is his typing speed in word per minute

Answers

his typing speed is 94.5
Yosef can type 6 words per minute (hope this helps)

Please help me with this question please

Answers

Answer:

A

Step-by-step explanation:

PLS HELP ITS DUE IN AN HOUR!
WILL GIVE BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.

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