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Puzzle ZYES 


??

What is the next number in this sequence:

1 · 1 · 2 · 4 · 3 · 9 · 4 · 61 · 5 · 52 · 6 · 63 · 7 · 94 · 8 · ?

Puzzle Copyright © Kevin Stone

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Answer
46.

Reasoning
Take the numbers in pairs, square the first, and reverse the digits.
1  1   (1 x 1 = 1,  reversed is 1)
2  4   (2 x 2 = 4,  reversed is 4)
3  9   (3 x 3 = 9,  reversed is 9)
4  61  (4 x 4 = 16, reversed is 61)
5  52  (5 x 5 = 25, reversed is 52)
6  63  (6 x 6 = 36, reversed is 63)
7  94  (7 x 7 = 49, reversed is 94)
   so we require:
8  46  (8 x 8 = 64, reversed is 46)