Question

find the sum of 1st n odd natural numbers​

Answer 1

Answer:

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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=

2

n

{2a+(n−1)d}

⇒S=

2

n

{2(1)+(n−1)2}

⇒S=

2

n

(2n)

⇒S=n

2

Answer 2

according to the odd number theorem, the sum of first n number is equal to the square of n

let's take an example

sum of first two number

1+3=2²

4=4

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