Question

The sum of first n odd natural numbers is _______________.

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Answer 1

Answer:

(n+1) 2

Step-by-step explanation:

The sequence of first n odd numbers is 1,3,5,7.........n

This forms an A.P with a = 1 and d = 2

$S= \frac{n}{2} 2a+(n−1)d \\ \\ ⇒S= \frac{n}{2} {2(1)+(n−1)2} \\ \\ ⇒S= \frac{n}{2} (2n) \\ \\ ⇒S=</em></strong><strong><em>n</em></strong><strong><em>²</em></strong><strong><em>$

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