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Question
Verify whether the following sequence is H.P.
`1/3, 1/6, 1/12, 1/24, ...`
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Solution
`1/3, 1/6, 1/12, 1/24, ...`
Here, the reciprocal sequence is 3, 6, 12, 24, …
∴ t1 = 3, t2 = 6, t3 = 12, ...
t2 – t1 = 3, t3 – t2 = 6
∵ t2 – t1 ≠ t3 – t2
∴ The reciprocal sequence is not an A.P.
∴ the given sequence is not a H.P.
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