An arithmetic sequence is represented by the recursive formula

a1=13
a^n=a^n−1 −7 .

What is the fifth term in the sequence?


a5=−8

a5=−15

a5=−22

a5=−35

Respuesta :

The fifth term of the sequence is -15

Recursive functions

Given the following recursive functions

[tex]a_1=13\\a^n=a^{n-1}- 7 .[/tex]

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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