Question

. Solve un using re-arrangement
3/5 into -12/7 into 15/2 into 49/24
​

Answer 1

Answer:

What number comes next, 1, 2, 6, 15, 31 __?

The question is of course …… find the pattern and this question is fairly straightforward…(I think!)

Series

[ 1 ]•••••[ 2 ]•••••[ 6 ]•••••[15]••••••[31]••••••[???]••••••

Differences between the numbers in the series

•••••[ 1 ]•••••[ 4 ]•••••[ 9 ]•••••[16]••••••[???]••••

If we rewrite the numbers immediately above we see that they are all Perfect Squares, or

•••[1^2 ]•••[ 2^2]•••[ 3^2 ]•••[4^2]•••[5^2]•••[6^2]•••

Therefore the number which comes after 31 is

( 31 + 25 ) = 56

and although we weren't asked, the number after 56 is ( 56 + 36 ) = 92