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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If H1,H2,H3….H10\mathrm{H}_1, \mathrm{H}_2, \mathrm{H}_3 \ldots . \mathrm{H}_{10} are the harmonic means between 1 and 1a\frac{1}{a}, then H1H10=\frac{\mathrm{H}_1}{\mathrm{H}_{10}}=
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Correct option: C
10a+110+a\frac{10 a+1}{10+a}
Option C (10a+110+a\frac{{10 a+1}}{{10+a}}) is correct because it represents the ratio of the first and last harmonic means in the given series.

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