Sequence And Series Question 598

Question: The first and last terms of a G.P. are $ a $ and $ l $ respectively; $ r $ being its common ratio; then the number of terms in this G.P. is

Options:

A) $ \frac{\log l-\log a}{\log r} $

B) $ 1-\frac{\log l-\log a}{\log r} $

C) $ \frac{\log a-\log l}{\log r} $

D) $ 1+\frac{\log l-\log a}{\log r} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ l=a{r^{n-1}} $
$ \Rightarrow $ $ a,\ b,\ c,\ d $
$ \Rightarrow $ $ b $ .