Use the formula an=4+(n−1)(−7)a_n=4+(n-1)(-7) to find the eighth term of the sequence 4,−3,−10,…4, −3, −10,…

Ch. 8 - Sequences, Induction, and Probability

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Blitzer 8th Edition

Ch. 8 - Sequences, Induction, and Probability

Problema 108

Capitolo 9, Problema 108

Use the formula $a_{n} = 4 + (n - 1) (- 7)$ to find the eighth term of the sequence $4, - 3, - 10, \dots$

Guida verificata passo dopo passo

Identify the given formula for the nth term of the sequence:

a n = 4 + (n - 1) (- 7)

Recognize that to find the eighth term, you need to substitute

n = 8

into the formula.

Substitute

8

for

n

in the formula:

a 8 = 4 + (8 - 1)(-7)

Simplify the expression inside the parentheses: calculate

8 - 1

to get

7

Multiply

7

-7

and then add

4

to find the value of the eighth term.

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