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Vlad [161]
2 years ago
11

Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, ...

Mathematics
1 answer:
Mariulka [41]2 years ago
5 0

Answer: t_{n}=-15+9(n-1)

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is given as:

t_{n}=a+(n-1)d

a = first term = -15

d = common difference = -6 - (-15) = 9

n = number of terms

substituting into the formula , we have :

t_{n} = -15+(n-1)9

t_{n}=-15+9(n-1)

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16.
ss7ja [257]

The simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is 53 - w.

<h3>Linear equation:</h3>

Linear equation is an equation in which the highest power of the variable is equals to one.

Therefore, the number of economy-size cars rented in w weeks is represented as follows:

  • 152 + 3w

The number of full-size cars rented in w weeks is represented as follows:

  • 99 + 2w

where

w = number of weeks

A  simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is as follows:

  • 152 + 3w - (99 + 2w)
  • 152 + 3w - 99 - 2w
  • 53 - w

learn more on polynomial here: brainly.com/question/2566362

5 0
2 years ago
[(-6) + 5] ÷ [(-2) + 1]
Ira Lisetskai [31]
Answer:

Answer is 1

Explanation:

(-6 + 5) / (-2 + 1)

-1 / -1

1
3 0
3 years ago
Read 2 more answers
3250 - M = 1500 + 2(M - 500)
bija089 [108]

Answer:

M=916 2/3

Step-by-step explanation:

3250-m=1500+2(m-500)

3250-M=1500+2m-1000

3250-M=2M+500

3M=2750

M=916 2/3

5 0
2 years ago
Read 2 more answers
Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C).
natulia [17]

Answer:

401

Step-by-step explanation:

7 0
2 years ago
Tyna simplified the expression StartFraction 3 x cubed Over 12 x Superscript negative 2 Baseline EndFraction to StartFraction x
Yuki888 [10]

Answer:

She divided the coefficients incorrectly

Step-by-step explanation:

A. She divided the coefficients incorrectly.

B. She added the exponents instead of subtracting them.

C. She divided the coefficients instead of subtracting them.

D. She subtracted the exponents instead of dividing them.

Correct calculation:

3x³/12x^-2

= 3x³ ÷ 12x^-2

= 3x³ ÷ 1/12x²

= 3x³ × 12x²/1

= 36x^5

Tyna's calculation:

3x³/12x^-2 = x/4

3 0
3 years ago
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