Question
What is the value of 1² + 3² + 5² +
7² + 9² ................ 19²?Solution
Sum of the squares of first n odd number = n(2n+1)(2n-1)/3 Where n = number of terms Here number of terms are 10 as last odd term is = 2n-1=19 So n =10 So required sum = 10 × 21 ×19/3 = 1330
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