Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesH.P.Medium2 minQB

MathematicsMediumsingle choice

If $H_{1}, \dots, H_{20}$ are twenty harmonic means between 2 and 3 , find $(H_{1} + 2) / (H_{1} - 2) + (H_{20} + 3) / (H_{20} - 3)$ .

Answer:

Solution:

Reciprocals are an A.P. from 1/2 to 1/3 in 21 steps. Thus $H_{1} = 63/31$ and $H_{20} = 126/43$ . The two fractions are 125 and -85, summing to 40.

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:H.P.

⏱ 2mℹ️ Source: QB

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