Question

How will you identify the given sequence is a harmonic sequence?

• A. inverse sequence of geometric progression
• B. reciprocal sequence of arithmetic progression
• C. different sequence of arithmetic progression
• D. constant sequence of geometric progression

Answer 1

The correct option is B reciprocal sequence of arithmetic progression

Reciprocal sequence of an AP is an HP. (definition).

For example: Lets see an AP $3,6,9,12,....$

Thus HP of the given sequence is $\frac{1}{3},\frac{1}{6},\frac{1}{9},\frac{1}{!2},....$

Thus option B is correct.