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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:The sum up to n terms of the series 11 +3+13+5+15+7+... is

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Question

Choose the correct alternative:
The sum up to n terms of the series `1/(sqrt(1)  +sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) + ...` is 

Options

  • `sqrt(2"n" + 1)`

  • `sqrt(2"n" + 1)/2`

  • `sqrt(2"n" + 1) - 1`

  • `(sqrt(2"n" + 1) - 1)/2`

MCQ
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Solution

`(sqrt(2"n" + 1) - 1)/2`

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Infinite Sequences and Series
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Chapter 5: Binomial Theorem, Sequences and Series - Exercise 5.5 [Page 232]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 5 Binomial Theorem, Sequences and Series
Exercise 5.5 | Q 13 | Page 232
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