Write the sum of first n odd natural numbers.

Question:

Write the sum of first n odd natural numbers.

Solution:

n odd natural numbers are given by 3,5,7,9,…….

$S=\frac{n}{2} \times(6+2 \times n-2)$

$S=\frac{n}{2} \times(4+2 \times n)$

$S=n^{2}+2 n$

 

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