Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ S n a r x x 2 2 1 r 1 x 1 x 3 2 n n 1 3 2n 1 x x 1 Question **11**: **11** Evaluate 2 3 k k 1 Solution **11**: **11** **11** **11** **11** 2 3 k 2 3 k 22 3 k ....... 1 k 1 k 1 k 1 k 1 **11** k 1 k 3 3 3 3 ...... 3 1 2 3 **11** The terms of this sequence S n n a r 1 r 1 S n **11** 3 3 1 31 3 3 **11** 1 S n 2 3 2 **11** k **11** 3 3 1 k 1 2 3 3,3 ,3 …… forms a G.P. Substituting this value in equation (1), we obtain **11** k **11** 2 3 22 3 1 k 1 3 2 Question 12: The sum of first three terms of a G.P. is 39 and their product is 1. Find the common ratio and 10 the terms. Solution 12: a Let , a , ar be the first three terms of the G.P. r 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 ______________________________________________________________________________ a 39 a ar r 10 a a r ....... 1 ar From (2), we Obtain a 1 3 a 1 Substituting 1 39 1 r r 10 2 39 1 r r r 30 1 ....... 2 (Considering real roots only) a 1 in equation (1), we obtain 2 10 10r 10r 39r 0 2 10r 29r 10 0 2 10r 25r 4r 10 0 5r 2r 5 2 2r 5 0 r r 5 2 2 5 0 2 r 5 or 5 2 5 Thus, the three terms of G.P. are ,1 and 2 2 5 . Question 13: How many terms of G.P. Solution 13: The given G.P. is Let n S n Here, 2 3 3,3 ,3 ... 2 3 3,3 ,3 ... are needed to give the sum 120? terms of this G.P. be required to obtain in the sum as 120. a 1 r 1 r n r a 3 and 3 n 3 3 1 S n 120 31 3 3 n 1 120 2 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 12 - Introduction

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Class XI Chapter 13 - Limits and De

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