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 Post subject: Help! Number sequence answerPosted: Thu Mar 24, 2016 5:30 am

Joined: Sat Mar 05, 2016 4:30 pm
Posts: 16
Could someone please solve this. Find the next number in the following sequence :

1, 2, 6, 15, 31, -----

This from a sample paper my daughter's friemd had.

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 Post subject: Re: Help! Number sequence answerPosted: Thu Mar 24, 2016 5:41 am

Joined: Sun Sep 07, 2014 1:47 pm
Posts: 2490
Shwetakd wrote:
Could someone please solve this. Find the next number in the following sequence :

1, 2, 6, 15, 31, -----

This from a sample paper my daughter's friemd had.

The answer is 56.Each time the number squared is added.Initially it was the square of one which is 1 then the square of 2 which is 4 then the square of 3 which is 9.Then the square of 4 which is 16 and finally the square of 5 which is 25 added to 31 to make 56.

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 Post subject: Re: Help! Number sequence answerPosted: Thu Mar 24, 2016 8:28 am

Joined: Sat Mar 05, 2016 4:30 pm
Posts: 16
Thank you!

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 Post subject: Re: Help! Number sequence answerPosted: Thu Mar 24, 2016 10:10 am

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11693
It is usually a good approach to look at the 'gaps' or differences between successive terms.

1, 2, 6, 15, 31

2 - 1 = 1
6 - 2 = 4
15 - 6 = 9

etc.

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