Sunday, January 07, 2007

Number Series Puzzle

Maria Claudia Faverio headshot by Maria Claudia Faverio

What is the next number in the series:

7 49 793 139 757 ?

Look below for the solution.

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Solution

The answer is 123, determined as follows:

7 (= 71), 49 (= 72), 793 (= 43 + 93), 139 (= 72 + 92 + 32), 757 (= 13 + 33 + 93), ?.
123 (= 72 + 52 + 72), and the series continues with alternating powers of 2 and 3).


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