Question

If the first two terms of a HP are $\frac{2}{5}$ and $\frac{12}{13}$, respectively, which of the following terms is the largest term?

• A. 4th term
• B. 5th term
• C. 6th term
• D. 2nd term

Answer 1

The correct option is D 2nd term

The corresponding AP would be 2.5, 1.0833... This gives us a common difference of -1.4166. From the third term onwards, the AP and its reciprocal HP would both become negative. Hence, the largest term of the HP is the second term itself.