Find the sun of first n odd natural numbers. - Vidyadip

Question

Find the sun of first n odd natural numbers.

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Answer

The series of n odd natural number are $1, 3, 5, ..., n$
Where n is odd natural number
then, sum of n terms is
$\text{s}_\text{n}=\frac{\text{n}}{2}[2\text{a}+(\text{n}-1)\text{d}]$
$=\frac{\text{n}}{2}[2(1)+(\text{n}-1)(2)]$
$=\text{n}^2$
The sum of n odd natural numbers is $n^2$.

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