Question

sum of first 1003 terms of the series 1/√1+√3+ 1/√3+√5+1/√5+√7+.....……… is​

Answer 1

Answer:

N th term is 1 / √2n-1+√2n+1.

On rationalizing we get

√2n+1-√2n+-1 / 2

We can write it as √2n+1/ 2 - √2n-1 / 2

Star puting values in the above eq.

Tema will start canceling out and we get

√2n+1 / 2 - 1/2

= 1/2 {(√2n+1)-1}