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I was trying to find odd one out from the sequence as follows -

$−3,9,41,113,262,577$

I took the difference of the consecutive terms -

$12,32,72,149,315$

I still could not find any pattern in order to find odd one out.

Any other method to find the odd one out?

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I think the odd one out is

262

It should be

265

Because

The general solution is T(n+1) = T(n) * 2 + 8 * (n + 1) - 1

Detailed list:

-3 * 2 + 15 = 9
9 * 2 + 23 = 41
41 * 2 + 31 = 113
113 * 2 + 39 = 265
265 * 2 + 47 = 577

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  • $\begingroup$ I am not sure how to add a spoiler block, I wanted to list the pattern for all the numbers $\endgroup$ – Rock Cheung May 19 '18 at 16:13
  • 3
    $\begingroup$ For future reference, new lines can be added to a spoiler by including two spaces at the end of the line. $\endgroup$ – Apep May 19 '18 at 17:50

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