Question

An arithmetic sequence is given below.

17, 22, 27, 32,
Write an explicit formula for the n
th
term an
a
n
0 0
Х
?

Answer 1

n5 + 17

Explanation:

They're asking for a pattern.

17 + 5 = 22

22 + 5 = 27

27 + 5 = 32

So it starts at 17 and increases by five each time.

The nth term increases by 5 each time and starts at 17. That means the nth term is multiplied by 5 each time, but you have to add 17 because that's where the pattern starts.

n5 + 17