Question

Examine the sequence of integers below.26, 17, 8, -1, -10, -19Which algebraic expression represents the nth integer in this sequences

Answer 1

Explanation:

Each number in this sequence is the previous number minus 9. This is an arithmetic sequence.

In arithmetic sequences the rule is:

$x_n=a+d(n-1)$

Where a is the first term and d is the distance between terms. In this case the distance is -9 and the first term is 26

Answer:

The algebraic expression that represents the nth integer in the sequence is:

$x_n=26-9(n-1)$