An algebra problem by Nazmus sakib

Algebra Level 1

What is the sum of the squares of the first 149 149 positive integers?


The answer is 1113775.

Nazmus Sakib by Nazmus sakib , 24, Bangladesh

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1 solution

Munem Shahriar
Sep 30, 2017

n ( n + 1 ) ( 2 n + 1 ) 6 \frac{n(n+1)(2n+1)}{6}

Where n = 149 n = 149

= 149 ( 150 ) ( 298 + 1 ) 6 = \frac{149(150)(298 +1)}{6}

= 22350 × 299 6 = \frac{22350 \times 299}{6}

= 6682650 6 = \frac{6682650}{6}

= 1113775 = \boxed{1113775}

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