If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?
A. 36 B. 18 C. 54 D. 24 Answer: Option CShow Answer
Solution(By Apex Team)
$\begin{aligned}&5^{th}\text{ term of GP }\\
&=ar^{5-1}\\
&=16\times r^4\\
&=81\\
&\text{ Or, }r=\left(\frac{81}{16}\right)^{\frac{1}{4}}=\frac{3}{2}\\
&4^{\text{th }}\text{ term of GP }\\
&=ar^{4-1}\\
&=16\times\left(\frac{3}{2}\right)^3\\
&=54\end{aligned}$
[oceanwp_library id=”5281″]
