What is the recursive formula for this arithmetic sequence? -4, 3, 10, 17, ...

Question

I don't know how to do this.

Answer 1

Hi, Jonathan.

Okay, so the arithmetic sequence is increasing by 7.

So, -4 + 7 = 3

3 + 7 = 10

10 + 7 = 17......etc..

So, you are increasing each term by 7 to get the next term.

A_n = A_n-1 + 7

Where A₁ = -4

This is your recursive formula