Find the second, fifth, and ninth terms of a sequence where the first term is 65 and the common difference is - 7.

a) 72, 79, 86

b) 58, 51, 44

c) 58, 37, 9

d) 72, 93, 121

There are multiple ways to do this.

The easiest is to just continuously subtract 7 from 65 the numbers of times needed.

But most math teachers will have you use the equation ar^n-1 where a = the first term (65), r=ratio (-7), and n=the term you need (second, fifth, and ninth).

So to solve you just plug your values in as so

AR^n-1

(65) (-7) ^2-1 (65) (-7) ^5-1

(65) (-7) ^9-1