Find the sum of first n odd natural numbers.

1.	Find the sum of first n odd natural numbers.
Answer» Given, An AP of first n odd natural numbers whose first term a is 1, and common difference d is 3 Given, Sequence is 1, 3, 5, 7……n To find : the sum of first n natural numbers Hence, The sum is given by the formula s = \(\frac{n}{2}\)(2a+(n-1)d) Substituting the values in the above equation we get, s = \(\frac{n}{2}\)(2+(n-1)2) s = n²

Answer»

Given,

An AP of first n odd natural numbers whose first term a is 1, and common difference d is 3

Given,

Sequence is 1, 3, 5, 7……n

To find : the sum of first n natural numbers

Hence,

The sum is given by the formula s = \(\frac{n}{2}\)(2a+(n-1)d)

Substituting the values in the above equation we get,

s = \(\frac{n}{2}\)(2+(n-1)2)

s = n²

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