Question 3

Find the value of $$n+n+\frac{3n}{2}+\frac{9n}{4}+.........\infty$$

Solution

Expression = $$n+n+\frac{3n}{2}+\frac{9n}{4}+.........\infty$$

= $$n+(n+\frac{3n}{2}+\frac{9n}{4}+.........\infty)$$

It is a geometric progression with common ratio, $$r=\frac{3}{2}$$ and first term, $$a=n$$

$$\because$$ The common ratio is greater than 1, => Sum will tend to infinity.

=> Ans - (D)

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: