Question

An arithmetic sequence is represented by the recursive formula

Answer 1

The fifth term of the sequence is -15

Recursive functions

Given the following recursive functions

$a_1=13\\a^n=a^{n-1}- 7 .$

For the second term:

a2 = a1 - 7

a2 = 13 - 7

a2 = 6

For the third term:

a3 = a2 - 7

a3 = 6 - 7

a3 = -1

For the fourth term:

a4 = a3 - 7

a4 = -1 - 7

a4 = -8

For the fifth term:

a5 = a4 - 7

a5 = -8 - 7

a5 = -15

Hence the fifth term of the sequence is -15

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