Question

An arithmetic sequence has this recursive formula:

What is the explicit formula for this sequence?

Answer 1

Answer:

C

Step-by-step explanation:

the explicit formula for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

from the recursive formula in the form

$a_{n}$ = $a_{n-1}$ + d

given

$a_{n}$ = $a_{n-1}$ - 7

with d = - 7 and a₁ = 4 , then explicit formula is

$a_{n}$ = 4 + (n - 1)(- 7)