Question

The first term of a harmonic is $\frac{1}{7}$ and the second term is $\frac{1}{9}$. The ${12}^{th}$ term is

• A. $\frac{1}{19}$
• B. $\frac{1}{29}$
• C. $\frac{1}{17}$
• D. $\frac{1}{27}$

Answer 1

The correct option is B

$\frac{1}{29}$

Here first term of A.P. be 7 and second be 9, then ${12}^{th}$ term will be 7 + 11 $\times$2 = 29

Hence ${12}^{th}$ term of the H.P. be $\frac{1}{29}$.