What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?

A) an = 7 - 8n
B) an = -7 + 8n
C) an = -7 - 8n
D) an = -15 - 8n
my best answer is C

well, a = -15 and d = -8

now use the formula for the general term of an AP.

is it B

To find the closed linear form for a given sequence, we need to determine the pattern or rule that relates each term to the previous term.

Given that a1 = -15 and an + 1 = an - 8, we can deduce that each term is obtained by subtracting 8 from the previous term.

To arrive at the solution, we can start by identifying the difference between consecutive terms:

a2 - a1 = (a1 - 8) - a1 = -8

This means that the common difference between consecutive terms is -8.

Now, we can generalize this pattern to find the nth term, an. We can express this rule as follows:

an = a1 + (n - 1)d

where a1 is the first term, d is the common difference, and n is the position of the term in the sequence.

Substituting the given values, we have:

an = -15 + (n - 1)(-8)
= -15 - 8n + 8
= -7 - 8n

Therefore, the closed linear form for the given sequence is an = -7 - 8n.

Hence, the correct answer is option C) an = -7 - 8n.