Consider the sequence 2, 5, 10, 17, ...

What is the value of a3a3? Consider the sequence 2, 5, 10, 17, ...

What is the value of a3 a3?

251017

The sequence 2, 5, 10, 17 ... has the pattern

1 + 1 = 2

4 + 1 = 5

9 + 1 = 10

16 + 1 = 17

So, the next term would be:

25 + 1 = 26

The sequence is described the equation:

an = n² + 1

To solve for the nth term, the value n just has to be substituted.