Observational Skills

Level 2

Find the next number of the series

28 , 72 , 152 , 280 , ? \color{magenta}\large 28, 72,152, 280, ?

466 421 459 468 343

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Achal Jain
Feb 23, 2017

It is not hard to observe

1 3 + 3 3 = 28 \large 1^{3}+3^{3}=28

2 3 + 4 3 = 72 \large 2^{3}+4^{3}=72

3 3 + 5 3 = 152 \large 3^{3}+5^{3}=152

4 3 + 6 3 = 280 \large 4^{3}+6^{3}=280 Hence the next term will be

5 3 + 7 3 = 468 \huge 5^{3}+7^{3}=468

And the general term of the series is

n 3 + ( n + 2 ) 3 \large n^{3}+(n+2)^{3}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...