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Question from Shalev:

hi,

i had a job interview yesterday. it had mathematical questions. couldn't
solve 1. i m obsessed with it. please find out what the answer is..

it goes like this:
2,4,5,5,8,6,_,_,14,8

thank u very much

Shalev,

If you compute first/second, third/fourth, firth/sixth, ... you get

2/4, 5/5, 8/6, ?/?, 14/8

which seems to be a set of increasing fractions. The denominators are 4, 5, 6, ?, 8, and 7 seems to fit in the missing place. The numerators are 2, 5, 8, ?, 14, they seem to be increasing by threes, so the answer would be 11, 7 to give a fraction of 11/7.

This is one possible pattern, but there might be many.
Claude

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