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Question

(i) The sum of the first 16 odd numbers is ___
(ii) The sum of the first 25 odd numbers is ___.

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Solution

(i) The sum of first n odd numbers = n2
Ex: 1+3+5=32=9
1+3+5+7=42=16
Similarly,
1+3+5+7+.........+(16th odd no.)=162=256

(ii) The sum of first n odd numbers = n2
Ex: 1+3+5=32=9
1+3+5+7=42=16
Similarly,
1+3+5+7+.........+(25th odd no.)=252=625

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