write a recursive formula for an the nth term of the sequence 5,3,1,-1

To find a recursive formula for the nth term of the sequence 5, 3, 1, -1, we need to identify the pattern or the relationship between consecutive terms of the sequence.

Observing the sequence, we can see that each term is 2 less than the previous term. Therefore, we can write the recursive formula as:

a(n) = a(n-1) - 2

where a(n) represents the nth term of the sequence and a(n-1) represents the (n-1)th term.

To find a recursive formula for this sequence, we need to identify the pattern between each term.

By observing the sequence, we can see that each term is decreasing by 2:

5, 3, 1, -1

So, we can write the recursive formula as:

a(n) = a(n-1) - 2

Where a(n) represents the nth term of the sequence, and a(n-1) represents the previous term in the sequence.