Question

The sum of first n odd positive integers is: *  Option 1  Option 2  Option 3  Option 4​

Answer 1

Answer:

sum of the first 2 odd number is 4

Answer 2

Answer: n*n

Step-by-step explanation:

Given to find sum of first n odd positive numbers.

First term = 1

common difference = 2

∴ $Sum = \frac{n}{2}(2a + (n - 1) d)$

For n terms:

⇒ $Sum = \frac{n}{2}(2 * 1 + (n - 1) 2)$

⇒ $Sum = \frac{n}{2}(2 + 2n - 2 )$

∴ $Sum = n^{2}$