Question

find the sum of first name odd natural number ​

Answer 1

1+3+4=2=

$2 {}^{2}$

Answer 2

Answer:

n²

Step-by-step explanation:

1 = 2×1 - 1

3 = 2×2 - 1

5 = 2×3 - 1

....

The n-th odd natural number is 2n-1.

The sum of the first n odd natural numbers is

1 + 3 + 5 + .... + (2n-1)

= (2×1 - 1) + (2×2 - 1) + (2×3 - 1) + ... + (2n - 1)

= 2 × ( 1 + 2 + 3 + ... + n ) - n × 1

= 2 × n ( n + 1 ) / 2  - n

= n ( n + 1 ) - n

= n² + n - n

= n²