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Source: — Problem Solving |

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by Brent@GMATPrepNow » Mon Oct 21, 2013 11:00 am
sgr21 wrote:hey guys i am some how stuck with series almst evry tym
What comes next in the series?
5, 16, 60, 236, 940,
This would never be an actual GMAT question because it's possible to find more than 1 pattern in a set of numbers. For similar post, see: https://www.beatthegmat.com/iq-i-gues-t270998.html

For example, what comes next in this sequence: 1, 2, 4, ... ?
Well, perhaps we're doubling each number, in which case the next value is 8
Or, perhaps we're adding 1, then 2, then 3 then 4 (etc), in which case the next value is 7

Yes, I can see that having 5 values reduces the number of possible scenarios, but the rationale for why the GMAT would not test this still stands.

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Brent
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by theCodeToGMAT » Mon Oct 21, 2013 11:04 am
5, 16, 60, 236, 940,

16-5 = 11
60-16 = 44 = 11x4
236-60 = 176 = 44x4
940-236 = 704 = 174*4

So, next digit = 940 + 704*4 = 3756

Is it correct?
Last edited by theCodeToGMAT on Mon Oct 21, 2013 11:36 am, edited 1 time in total.
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by AIM TO CRACK GMAT » Mon Oct 21, 2013 11:33 am
theCodeToGMAT wrote:5, 16, 60, 236, 940,

16-5 = 11
60-16 = 44 = 11x4
236-60 = 176 = 44x4
940-236 = 704 = 174*4

So, next digit = 236 + 704*4 = 3052

Is it correct?
Hey ... M afraid not! The OA is 3756
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by theCodeToGMAT » Mon Oct 21, 2013 11:36 am
AIM TO CRACK GMAT wrote:
theCodeToGMAT wrote:5, 16, 60, 236, 940,

16-5 = 11
60-16 = 44 = 11x4
236-60 = 176 = 44x4
940-236 = 704 = 174*4

So, next digit = 236 + 704*4 = 3052

Is it correct?
Hey ... M afraid not! The OA is 3756
Yeah correct.. i made a typo... :) .. sometimes answer choices help to check errors :) .. solution fixed.
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by [email protected] » Mon Oct 21, 2013 7:15 pm
Hi sgr21,

Brent is correct that this question would never appear on the real GMAT. Also, the 5 answer choices can provide value information (or hints) as to how to solve this problem.

The pattern behind this question is to "take a term, multiply it by 4, then subtract 4" to get the next term:

5x4 - 4 = 16
16x4 - 4 = 60
60x4 - 4 = 236
236x4 - 4 = 940

940x4 - 4 = 3756

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