Find the value of $$n+n+\frac{3n}{2}+\frac{9n}{4}+.........\infty$$
Expression =Â $$n+n+\frac{3n}{2}+\frac{9n}{4}+.........\infty$$
=Â $$n+(n+\frac{3n}{2}+\frac{9n}{4}+.........\infty)$$
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)
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