Question

Given the sequence -7, -3, 1, 5,..What is the recursive formula for this sequence?A. a^n=a^n - 1 +4B. a^n= a^n -1 - 7C. a^n= a^n - 1 - 4D. a^n= a^1 - 7

Answer 1

The recursive formula for the sequence is;

`a_n=a_(n-1)+4`

Step-by-step explanation:

The recursive formula is of the form;

`a_n=a_(n-1)+d`

Where;

d = common difference.

To determine the common difference, Let us find the difference between two consecutive terms;

`\begin{gathered} d=a_2-a_1 \\ d=-3-(-7) \\ d=-3+7 \\ d=4 \end{gathered}`

Substituting the common difference.

The recursive formula for the sequence is;

`a_n=a_(n-1)+4`