Search any question & find its solution
Question:
Answered & Verified by Expert
If $b$ is the first term of an infinite G. P whose sum is five, then $b$ lies in the interval.
Options:
Solution:
2050 Upvotes
Verified Answer
The correct answer is:
$(0,10)$
$(0,10)$
First term $=b$ and common ratio $=\mathrm{r}$
For infinite series, Sum $=\frac{b}{1-r}=5$ $\Rightarrow b=5(1-\mathrm{r})$
So, interval of $b=(0,10)$ as, $-1 < \mathrm{r} < 1$ for infinite GP.
For infinite series, Sum $=\frac{b}{1-r}=5$ $\Rightarrow b=5(1-\mathrm{r})$
So, interval of $b=(0,10)$ as, $-1 < \mathrm{r} < 1$ for infinite GP.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.