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Question
The sum of first n odd natural numbers is ______.
Fill in the Blanks
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Solution
The sum of first n odd natural numbers is n2.
Explanation:
The first n odd numbers are 1, 3, 5, ..., 2n – 1.
Their sum `S = n/2 xx ("first" + "last")`
= `n/2 xx (1 + (2n - 1))`
= `n/2 xx 2n`
= n2
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