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given the recursive formula

a1=-8
a6=an-1+5

what is the common difference?
what is the initial term?
what term is this formula solving for?
what should be in place of the n-1?

-8,6,5,4

For a given sequence with a recursive formula, a common difference is not applicable because a common difference is used to determine the terms in an arithmetic sequence, which follows a different formula.

The initial term for this recursive formula is a1, which is -8.

This formula is solving for the term at position 6 in the sequence.

In place of n-1 in the recursive formula, you should have a(n-1), which represents the term at position (n-1) in the sequence.

what should be in place of the n-1? the only options are -8,6,5,4

In place of n-1 in the recursive formula, you should have a(n-1), which represents the term at position (n-1) in the sequence.

so which number would you put? -8?

No, you should put a(n-1) in place of n-1 in the recursive formula. The term at position (n-1) in the sequence is represented by a(n-1). So, in this case, a(n-1) would be used instead of the number -8.

thats not an option

Apologies for the confusion. Given the options provided (-8, 6, 5, 4), the number that should be in place of n-1 is 6.

so what term is this formula solving for?

The formula is solving for the nth term in the sequence.

which means what number goes in that place