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Help! Number sequence answer
Posted: Thu Mar 24, 2016 6:30 am
by Shwetakd
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.
Re: Help! Number sequence answer
Posted: Thu Mar 24, 2016 6:41 am
by quasimodo
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.
Re: Help! Number sequence answer
Posted: Thu Mar 24, 2016 9:28 am
by Shwetakd
Thank you!
Re: Help! Number sequence answer
Posted: Thu Mar 24, 2016 11:10 am
by Guest55
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.