Question
Using mathematical induction, prove that the sum of the squares of first 'n' natural numbers is .
Answer :
Word Count : 204
For (n = 1), the sum of the squares of the first natural number is (1^2 = 1). The given formula gives (\frac{1(1+1)(2\cdot1+1)}{6} = \frac{1\cdot2\cdot3}{6} = 1). Hence the result is true for (n = 1). Assume that the formula ______ _____ ____ _________ ___ ______ ____ _____.
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For (n = 1), the sum of the squares of the first natural number is (1^2 = 1). The given formula gives (\frac{1(1+1)(2\cdot1+1)}{6} = \frac{1\cdot2\cdot3}{6} = 1). Hence the result is true for (n = 1). Assume that the formula ______ _____ ____ _________ ___ ______ ____ _____.
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