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Question

(`11^2` + `12^2` + `13^2` +...........+ `20^2` ) = ?


Options:
A .  385
B .  2485
C .  2870
D .  3255
Answer: Option B

(`11^2` + `12^2` + `13^2` +...........+ `20^2` )

=(`1^2` + `2^2` +  ...........+ `20^2` )  -  (`1^2` + `2^2` + ..........+ `10^2` )

=` { (20 xx 21 xx 41)/(6)`   -  ` (10 xx 11 xx 21)/(6)}`         

`because ` [ (` 1^2` + `2^2` + ........+`n^2`) =  `1/6` n(n + 1)(2n + 1)]

= (2870 - 385) = 2485




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