JEE Main 2024MathematicsSequences And SeriesSummation Of SeriesmediumMCQ

JEE Main 2024Sequences And Series Question with Solution

From: JEE Main 2024 (Online) 31st January Morning Shift

Question

The sum of the series up to 10 -terms is

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

General term of the sequence,

Sum of 10 terms,

\sum_\limits{\mathrm{r}=1}^{10} \mathrm{~T}_{\mathrm{r}}=\frac{1}{2}\left[\frac{1}{-1}-\frac{1}{109}\right]=\frac{-55}{109}

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About this question

This is a previous-year question from JEE Main 2024, covering the Sequences And Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.