The Next In Line

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Find the next number in series

1,3,8,19,42,....


The answer is 89.

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1 solution

Swapnil Mishra
Apr 17, 2016

It follows the rule as

a 0 = 1 a_{0}=1

a i + 1 = a i + [ ( 3 × 2 i ) 1 ] , i 0 a_{i+1}=a_{i} +[ ( 3 \times 2^{i}) -1 ] , \quad \forall \quad i\ge 0

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