Question

show that the sum of the first n odd no. equal n*2​

Answer 1

Step-by-step explanation:

The sequence of odd numbers is;

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

It can be seen, that this sequence is in A.P. with first term as 1 and common difference as 2.

Sum of n terms can be calculated using the formula, $\frac{n(2a + (n - 1)d)}{2}$

Therefore, sum=$\frac{n(2 + (n - 1)2) }{2}$ = n²