1/3 ,1/5, 1/7, 1/9 verify whether the following sequence are hp

Asked by hirugadeshravani | 26th Dec, 2020, 07:37: AM

Expert Answer:

The sequence 1/3, 1/5, 1/7, 1/9 will be an HP if the terms 3, 5, 7, 9 are in AP
Now, 5 - 3 = 2, 7 - 5 = 2, 9 - 7 = 2
So, the distance is constant throughout.
Thus, 3, 5, 7, 9 are in AP.
Hence, the sequence 1/3, 1/5, 1/7, 1/9 is an HP.

Answered by Renu Varma | 5th Jan, 2021, 11:28: AM