Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ n 5 10 10 1 9 10 1 n 5 10 10 1 9 9 n n 50 10 1 5 n n 81 9 (ii) .6 .66 .666 ... Let S n 06. 0.66 0.666 ....to nterms 6 0.1 0.**11** 0.**11**1 ....to n terms 6 0.9 0.99 0.999 ....to n terms 9 6 1 1 1 1 1 1 ....to n terms 2 3 9 10 10 10 2 1 1 1 1 1 ... n terms 1 ... n terms 3 10 10 10 2 n 1 1 2 1 10 n 3 10 1 1 10 2 2 10 n 1 10 3 30 9 2 2 n 1 10 3 27 n n Question 22: Find the 20 th term of the series 2 4 4 6 6 8 ..... terms Solution 22: n The given series is 2 4 4 6 6 8 ..... terms 2 th n term a 2n 2n 2 4n 4n n 2 a20 4 20 4 20 4 400 80 1600 80 1680 Thus, the 20 th term of the series is 1680. n . 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 23: Find the sum of the first n terms of the series: 37 13 21 31 ..... Solution 23: The given series is 37 13 21 31 ..... S a a 3 7 13 21 31 .... n1 n S a a a 3 7 13 21 .... n2 n1 n On subtracting both the equations, we obtain S S 3 7 13 21 31 ... a a 3 7 13 21 31 .... a a n1 n n1 n S S a a a 3 7 3 13 7 21 13 .... n n1 n 0 3 4 6 8 .... n1 terms an an 3 4 6 8 ..... n1 terms n 1 an 3 2 4 n**11** 2 2 n 1 3 8 n 2 2 2 n 1 n 3 2 4 2 3 n1 n 2 2 3 n n 2 2 n n 1 n n n n 2 ak k k k 1 k 1 k 1 k 1 n n 1 2n 1 n n 1 n 6 2 1 n 1 2n 1 3 n 1 6 n 6 2 2n 3n 1 3n 3 6 n 6 2 2n 6n 10 n 6 n n 3 3 5 2 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 2 - Relations and

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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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