Sequences & Series
Harmonic Progression (HP)
Grade 11
Question:
<p>Let 4, @2, 3, ..... be in harmonic progression with a, = 5 and ago =</p>
Step-by-Step Solution
Key Concept: Invert at the right moment. Many HP questions become routine once the reciprocals are viewed as an A.P.
Notice that an H.P. becomes much friendlier after taking reciprocals. A clever move here is to convert the information into an A.P. of reciprocals, solve there, and then return to the original terms. Now, we invoke the power of that transformation and confirm the required answer as $D$.
Correct Answer: 4