π \pi Pattern

Calculus Level 3

What is the next term in the following sequence?

1 , 4 , 5 , 9 , 10 , 15 , 24 , 26 , 32 , . . . 1,\quad 4,\quad 5,\quad 9,\quad 10,\quad 15,\quad 24,\quad 26,\quad 32,\quad ...\quad


The answer is 37.

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1 solution

Michael Mendrin
Nov 3, 2014

The π \pi gives it away. Look at the difference in successive pairs of numbers.

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