SOLUTION: What is the formula for the sum of the the squares of the nth natural number?

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Question 1057138: What is the formula for the sum of the the squares of the nth natural number?
Found 3 solutions by solve_for_x, addingup, ikleyn:
Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the squares of the first n natural numbers is given by:

Sum+=+%28n%2F3%29%28n%2B1%29%28n+%2B+1%2F2%29

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Hard to write in here, so I wrote it on Word and snagged it:

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is the formula for the sum of the the squares of the nth natural number?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1%5E2 + 2%5E2 + 3%5E2 + . . . + n%5E2 = %28n%2A%28n%2B1%29%2A%282n%2B1%29%29%2F6.

See the lesson
    - Mathematical induction for sequences other than arithmetic or geometric
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".