Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ n n 1 n n 1 2n 1 1 6 2 2 2 2 n n1 n n 2n **11** 6 2 2 n n1 n n 2n 2 6 2 1 1 2 1 n n n n n 6 2 1 1 2 n n n n 6 2 n n 2 1 n 2 12 Question 8: Find the sum to n terms of the series whose Solution 8: 2 3 2 an n n 1 n 4 n n 5n 4 n 5n 4n n n n n n 3 2 k 5 4 k 1 k 1 k 1 k 1 S a k k k 1 2 5 12 1 4 1 2 n n n n n n n 4 6 2 1 1 52 1 n n n n n 4 2 2 3 2 n n1 3n 3n 20n 10 24 2 6 2 n n1 3n 23n34 2 6 2 13 23 34 n n n n 12 th n term is given by n n 1 n 4 . Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ Question 9: Find the sum to n terms of these series whose Solution 9: an n 2 2 n n n n 2 k 2 k 1 k 1 k 1 k S k 2 k 2 ...... 1 n Consider n k 1 2 3 2 2 2 2 .... k 1 The above series k 1 2 3 2 2 .... n n 2 2 1 k 2 2 2 1 ....... 2 21 th n terms is given by 2 n 2 n is a G.P. with both the first term and common ratio equal to 2. n Therefore, from (1) and (2), we obtain S 12n 1 n n 2 2 1 2 2 1 n 2 n n n k k1 6 Question 10: Find the sum to n terms of the series whose Solution 10: 2 2 a 2n 1 4n 4n 1 n n n S a k k n k k1 k1 n n n 2 4 k 4 k 1 k 1 k 1 k 1 2 4 4 1 4n n 1 2n 1 4n n 1 n 6 2 2nn 12n 1 2nn 1 n 3 2 2 2n 3n1 n 2n1 1 3 2 4n 6n 2 6n 6 3 n 3 th n terms is given by 2 2n 1 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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Class XI Chapter 2 - Relations and

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Class XI Chapter 3 - Trigonometric

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Class XI Chapter 4 - Principle of M

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Class XI Chapter 5 - Complex Number

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Class XI Chapter 6 - Linear Inequal

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Class XI Chapter 11 - Conic Section

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Class XI Chapter 12 - Introduction

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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Class XI Chapter 14 - Mathematical

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Class XI Chapter 15 - Statistics Ma

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