Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ 2 n n 1 3n n 1 2n 1 2n n 1 2 6 2 2 1 12 1 n n n n n nn1 2 2 1 nn 1 n n 2n 1 2 2 2 2 n n1 n n 4n 6 2 2 1 2 n 5n 6 n n 4 1 2 n 2n 3n 6 n n 4 n n 1 n n 2 3 n 2 4 1 2 3 n n n n 4 Question 3: Find the sum to n terms of the series Solution 3: The given series is 2 3 2 a 2n 1 n 2n n n S n n ak k 1 2 2 2 th 3 1 5 2 7 3 ..... n n n n 3 2 3 2 2k k 2 k k k 1 k 1 k 1 2 1 12 1 n n n n n 2 2 6 2 2 n n n n n 1 1 2 1 2 6 2 2 2 31 5 2 73 ... term, 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 ______________________________________________________________________________ nn 1 1 2 n nn 1 2 3 2 n n1 3n 3n 2n 1 2 3 2 n n1 3n 5n1 2 3 n n n n 6 2 1 3 5 1 Question 4: Find the sum to n terms of the series Solution 4: The given series is th n term, 1 1 a1 1 2 1 1 a2 2 3 a n 1 1 a3 .... 3 4 a n 1 1 n n 1 1 1 1 ..... 1 2 23 3 4 1 1 1 n n 1 n n 1 Adding the above terms column wise, we obtain 1 1 1 ..... 1 2 23 3 4 1 1 1 1 1 1 1 1 a1 a2 .... a n .... ..... 1 2 3 n 2 3 4 n1 1 n**11** n Sn 1 n1 n1 n1 [By partial fractions] 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 4 - Principle of M

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Class XI Chapter 5 - Complex Number

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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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