Question

$\frac{1}{2}$, $\frac{1}{4}$, - - - - form a H.P The ratio of 5th term to 7th term is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$\frac{1}{2}$, $\frac{1}{4}$,------------form a H.P.

2, 4 -------------- form A.P.

Common difference D = 2

5th term of H.P. = $\frac{1}{2+(5-1)2}$ = $\frac{1}{10}$

7th term of H.P. = $\frac{1}{2+(7-1)2}$ = $\frac{1}{14}$

$\frac{5thterm}{7thterm}$ = $\frac{14}{10}$ = $\frac{7}{5}$