Question

If the 7th term of a H.P is $\frac{1}{10}$ and the 12th term is $\frac{1}{25}$, then the 20th term is

• A. $\frac{1}{37}$
• B. $\frac{1}{41}$
• C. $\frac{1}{45}$
• D. $\frac{1}{49}$

Answer 1

The correct option is D

$\frac{1}{49}$

Considering corresponding A.P.

a + 6d = 10 and a + 11d = 25 $\Rightarrow d$= 3, a= -8

$\Rightarrow T_{20}$ = a + 19d = -8 + 57 = 49

Hence 20th term of the corresponding H.P. is $\frac{1}{49}$