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Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesSpecial sequences/seriesMedium2 minQB

MathematicsMediummultiple choice

For positive integer r let $T_{r} = 1/ [r r + 1 + (r + 1) r]$ . Which statements hold?

Options:(select one or more)

Answer:

A, C, D

Solution:

Rationalization gives $T_{r} = 1/ r - 1/ r + 1$ , a positive decreasing sequence. Its first n terms telescope to $1 - 1/ n + 1 < 1$ , and $n = 99$ gives $9/10$ .

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Special sequences/series

⏱ 2mℹ️ Source: QB

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