Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ At the end of 2 nd year, amount = Rs. 500 (1.1) (1.1) At the end of 3 rd year, amount = Rs. 500 (1.1) (1.1) (1.1) and so on Amount at the end of 10 years = Rs. 500 (1.1) (1.1) ….. (10 times) Rs.500 1.1 10 . Question 32: If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation. Solution 32: Let the root of the quadratic equation be a and b . According to the given condition, A.M. G.M. a b 8 a b 16 ..... 1 2 ab 5 ab 25 ...... 2 The quadratic equation is given by, x 2 x Sum of roots Product of roots 0 2 x x a b ab x 2 0 16x 25 0 Thus, the required quadratic equation is [Using (1) and (2)] x 2 16x 25 0 . 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 ______________________________________________________________________________ Exercise 9.4 Question 1: Find the sum to n terms of the series 1 2 2 3 3 4 4 5 .... Solution 1: The given series is 1 2 2 3 3 4 4 5 ..... n th n term, an k k1 k1 n n 1 S a k k 1 n n k 2 n k1 k1 k n n n 1 2n 1 n n 1 6 2 nn1 2n 1 1 2 3 nn1 2n 4 2 3 n n 1n 2 3 Question 2: Find the sum to n terms of the series 1 2 3 2 3 4 3 4 5 .... Solution 2: The given series is 1 2 3 2 3 4 3 4 5 ..... th n 1 2 a n n n n 2 nn 2 3 2 n 3n 2n n Sn ak k 1 n n n 3 2 k 3 k 2 k k 1 k 1 k 1 n term, 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 14 - Mathematical

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Class XI Chapter 15 - Statistics Ma

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