Question

What rule will correctly describe the sequence
2,5,10,17,26,37

Answer 1

The rule is. the nth term aₙ is given by

aₙ = n² + 1

Explanation:

The following is the summary of n, aₙ

n aₙ In terms of n

1 2 1² + 1

2 5 2² + 1

3 10 3² + 1

4 17 4² + 1

5 26 5² + 1

6 37 6² + 1

So the nth term is given by
n² + 1