Q64.The sum of the series 1 1 1 + + + … 1 + √2 √2 + √3 √3 + √4 upto 15 terms is (1) 1 (2) 2 (3) 3 (4) 4
What This Question Tests
This question tests the ability to rationalize the terms of a series and identify it as a telescoping sum to find the sum of 15 terms.
Concepts Tested
Formulas Used
1/(√a + √b) = (√b - √a)/(b - a)
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Sum of series
- Year
- 2012
- Shift
- 12 May Online
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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