The sum of 3/1.2 . 1/2 + 4/2.3(1/2)^2 + 5/3.4 (1/2)^3 n term is ​

Question

The sum of \(\frac{3}{1.2}. \frac12 + \frac4{2.3} \left(\frac 12\right)^2 + \frac5{3.4}\left(\frac 12\right)^3+ .......\) n term is 

(a) \(1- \frac1{(n + 1)2^n}\)

(b) \(1- \frac1{n.2^{n-1}}\)

(c) \(1+ \frac1{(n + 1)2^n}\)

(d) None of these

Answer 1

Correct option is (a) \(1- \frac1{(n + 1)2^n}\)