Question 3

If $$a_n=\frac{1}{n+1}+1$$, then find the value of $$a_1+a_3+a_5$$

Solution

Given : $$a_n=\frac{1}{n+1}+1$$

To find : $$a_1+a_3+a_5$$

= $$(\frac{1}{1+1}+1)+(\frac{1}{3+1}+1)+(\frac{1}{5+1}+1)$$

= $$(\frac{1}{2}+1)+(\frac{1}{4}+1)+(\frac{1}{6}+1)$$

= $$\frac{(6+3+2)}{12}+3$$

= $$\frac{11}{12}+3$$

= $$\frac{(11+36)}{12}=\frac{47}{12}$$

=> Ans - (D)

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: