Question

The fifth of the H.P. 2,$\frac{5}{2}$,$\frac{10}{3}$,................. will be

• A. $5\frac{1}{5}$
• B. $3\frac{1}{5}$
• C. $\frac{1}{10}$
• D. 10

Answer 1

The correct option is D

10

Series, 2,$\frac{5}{2}$,$\frac{10}{3}$,................. are in H.P. $\Rightarrow \frac{1}{2},\frac{2}{5},\frac{3}{10}$,......... will be in A.P.

Now first term a = $\frac{1}{2}$ and common difference d = $-\frac{1}{10}$

So, $5^{th}$ term of the A.P. = $\frac{1}{2}+(5-1)(-\frac{1}{10})$ = $\frac{1}{10}$

Hence $5^{th}$ term in H.P. is 10.