### Brain Teasers

# 1, 2, 5, 10, 17, 26, ?

What is the next number in this pattern and what are the two ways of working it out?

1, 2, 5, 10, 17, 26, ?

1, 2, 5, 10, 17, 26, ?

### Answer

37.The first way of working it out is to square each number in order (0, 1, 2, 3, 4, 5) and each time, add one.

The second way is to add each odd number in order (1, 3, 5, 7, 9) to the previous term.

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