Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ 3 3 r 3 r 2 3 2 7 1 6 7 6 7 3r 9r r 3a a r ar 3 3 3 2187 Thus, the seventh term of the G.P. is 2187 . Question 5: Which term of the following sequences: (a) 2,2 2,4..... Solution 5: is 128? (b) (a) The given sequence is 2,2 2, 4.....is 128? Here, Let the an a 2 and th n a r n 1 1 r 2 2 / 2 2 term of the given sequence be 128. n 2 2 128 n1 2 2 2 2 n1 1 7 2 2 2 n 1 1 7 2 n 1 6 2 n **11**2 n 13 7 Thus, the 13 th term of the given sequence is 128. (b) The given sequence is a 3 and Let the an a r 3 r 3 3 3,3,3 3,...... th n term of the given sequence be 729. n 1 n 1 ar 729 1 n 3 3 729 3,3,3 3,...... is 729? (c) 1 1 1 , , , .... 3 9 27 is 1 19683 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 ______________________________________________________________________________ n1 1/ 2 6 2 3 3 3 1 n1 2 2 3 3 1 n 1 6 2 2 1n 1 6 2 n 12 6 Thus, the 12 th term of the given sequence is 729. (c) The given sequence is Here, Let the an 1 a 3 th n a r n 1 n 1 1 and ar 19683 1 1 1 r 9 3 3 1 1 1 , , ... 3 9 27 term of the given sequence be n1 1 1 1 3 3 19683 n 9 Thus, the 9 th term of the given sequence is 1 19683 . 1 19683 . Question 6: For what values of x, the numbers Solution 6: The given numbers are 2 7 , x, 7 2 x 7x Common ratio 2 / 7 2 7 / 2 7 Also, common ratio x 2x 2 7 , x, 7 2 are in G.P.? 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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