perplexus.info :: Numbers : Skip to 4th power

Home > Numbers

Skip to 4th power (Posted on 2016-06-27)

1
~~2 3~~
4 5 6
~~7 8 9 10~~
11 12 13 14 15
~~16 17 18 19 20 21~~
22 23 24 25 26 27 28
etc...

Show that adding all the numbers that are not crossed off from 1 to the end of a line, the result is a 4^th power.

Example: 1+4+5+6=16=2⁴

No Solution Yet Submitted by Jer

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

hint from faraway

| Comment 2 of 4 |

Try to prove by induction.

Posted by Ady TZIDON on 2016-06-27 20:09:02

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info