Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ a a 4 3 3a 2 3 35 2 107 5 4 3a 2 3 107 2 323 Hence, the first five terms of the sequence are 3, **11**, 35, 107 and 323. The corresponding series is 3 **11** 35 107 323 .... Question 12: Write the first fiver terms of the following sequence and obtain the corresponding series: an 1 a1 1, an , n 2 n Solution 12: a a a n n n1 1 1, n , 2 a 1 2 2 1 a2 a a a 3 a2 1 3 6 a 1 4 24 3 4 5 a4 1 5 120 Hence, the first five terms of the sequence are The corresponding series is 1 1 1 1, , , 2 6 24 and 1 1 1 1 1 ... 2 6 24 120 1 120 . Question 13: Write the first five terms of the following sequence and obtain the corresponding series: a a 2, a a 1, n 2 1 2 n n1 Solution 13: a a 2, a a 1, n 2 1 2 n n1 a3 a21 2 **11** a4 a31 **11** 0 a5 a41 0 1 1 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 ______________________________________________________________________________ Hence, the first five terms of the sequence are 2, 2, 1, 0 and The corresponding series is 2 2 1 0 1 .... 1. Question 14: The Fibonacci sequence is defined by Find a a n1 n , for Solution 14: 1a a 1 2 n 1,2,3,4,5 a a , 2 1 a 2 n n n n a3 a2 a1 **11** 2 a4 a3 a2 2 1 3 a5 a4 a3 3 2 5 a6 a5 a4 5 3 8 a a 1 a a 1 For For For For n1 2 For n 1, 1 n a a 2 n a a 1 n n n n1 3 2, 2 a a n n1 4 3, n a a 2 a a n1 5 4, n a a 3 a a n1 6 5, n 4 a a 5 1 3 2 5 3 8 5 . 1a a 1 2 and a a , 2 1 a 2 n n n n 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 12 - Introduction

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Class XI Chapter 13 - Limits and De

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Class XI Chapter 15 - Statistics Ma

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