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Adding Odd Natural Numbers

The sum of fi...

Question

The sum of first $n$ consecutive odd natural numbers is equal to $n^{2}$ .

True

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False

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Solution

The correct option is A
True

The sum of first $n$ consecutive odd natural numbers is equal to $n^{2}$ . For example:

$1 + 3 = 2^{2} = 4$

$1 + 3 + 5 = 3^{2} = 9$

$1 + 3 + 5 + 7 = 4^{2} = 16$

$1 + 3 + 5 + 7 + 9 = 5^{2} = 25$

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