1^2 + 2^2 + 3^2 +.... + 28^2 + 29^2 + 30^2 = ...... Find the value Thank you!

asked Jun 18, 2022 69.8k views

1 vote

1^2 + 2^2 + 3^2 +.... + 28^2 + 29^2 + 30^2 = ......
Find the value
Thank you!

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3 votes

Explanation:

The sum of consecutive squares is

$1^2+2^2+\dots+n^2=\frac16n(n+1)(2n+1)$

Therefore

$1^2+2^2+\dots+30^2=\frac16(30)(31+1)(2\cdot30+1) = 9455$

Eik answered Jun 22, 2022

by Eik

5.6k points

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