Question

If the first two terms of a HP are 2/5 and 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

Correct option (d) 2nd term

Explanation: 

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.