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Find the sum of the squares of first 75 odd natural numbers.

511765
487560
562475
401735
Explanation:


Sum of the squares of first n odd numbers = $\dfrac{n(2n + 1)(2n - 1)}{3}$
Sum of squares of first 75 odd numbers = $\dfrac{75 × (2 × 75 + 1)(2 × 75 - 1)}{3}$
= $\dfrac{75 × 151 × 149}{3}$
= 562475


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