A famous series

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What comes next in the series:

1 , 5 , 12 , 22 , 35 , 1, 5, 12, 22, 35, \dots

70 51 117 92

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2 solutions

Ashish Menon
Apr 25, 2016

First we add 4, then 7, then 10, then 13, then we should add 16, which is 35 + 16 =51

Abhay Tiwari
Apr 25, 2016

Its a Pentagonal Number series, which can be represented pictorially like this:

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