Edugain Q&A

Math


What is the sum of consecutive square numbers? Is there any formula for that? Plz answer me. 1+4+9+16+25+36....+100?

Yes,there is.

Let the number of terms be n.

Then the formula is:

 

[n(n+1)(2n+1)]/6

If we take 100,

[100(100+1)(2*100+1)]/6

=[(100)(101)(201)]/6

=2030100/6
 
=338350
smiley

Yes,there is.

Let the number of terms be n.

Then the formula is:

 

[n(n+1)(2n+1)]/6

If we take 10,

[10(10+1)(2*10+1)]/6

=[(10)(11)(21)]/6

=2310/6
 
=385smiley

The upper one is for 100 square not 10 square.

The one posted above this is for 10 square

 

Thanks edugain

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