Find the sum of the series 25 ^2 +26^ 2 +27^ 2 +28^ 2 +29^ 2 +30^ 2 (without using actual squaring and summation)
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25^2=625, 51=25+26,53=26+27,55=27+28,57=28+29,59=29+30
625+(625+51)+(676+53)+(729+55)+(784+57)+(841+59)=4555
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