Question

The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?

Answer 1

677

Explanation:

the sequence is 1, 2, 5, 26, 677

the first term is 1

to find the 2nd term, do:
`1^(2) +1=2`

3rd:
`2^(2) +1=4+1=5`

4th:
`5^(2) +1 =25 +1=26`

5th:
`26^(2) +1=676+1=677`