Question

what is would be that answer when is Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -26, -25, -24, -23, ...

Answer 1

an = n -27

Explanation:

The general term (an) of an arithmetic sequence is given by the formula ...

an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

Your sequence has a first term of a1 = -26 and a common difference of d = 1. Putting these values into the formula gives ...

an = -26 + 1(n -1)

This can be simplified to ...

an = n - 27