Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ n 4 **11** 4 10 2 **11**2 4n 10 2 68 4n 10 34 4n 44 n **11** Thus, the number of terms of the A.P. is **11**. Question 13: If a bx b cx c dx x a bx b cx c dx Solution 13: It is given that, a bx b cx a bx b cx 0 a bxb cx b cxa bx then show that 2 2 2 2 ab acx b x bcx ab b x acx bcx 2 2b x 2 2 b ac b c a b Also, acx ...... 1 b cx c dx b cx c dx b cxc dx b cxc dx 2 2 2 2 bc bdx c x cdx bc bdx c x cdx 2 2c x 2 bdx 2 c bd c d d c From (1) and (2), we obtain b c d a b c ...... 2 Thus, abc , , and d are in G.P. abc , , and d are in G.P. 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 14: Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that P R S 2 n n Solution 14: Let the G.P. be a, ar, ar , ar .... ar 2 3 n 1 According to the given information, n a r 1 S r 1 n 1 2 ... n 1 P a r nn1 n 2 a r 1 1 1 R ..... a ar ar n n1 n2 r r r ..... 1 n1 ar 1 r 1 1 r 1 ar 1 [ Sum of first n natural numbers is n n1 1, r,..... r formsa G.P n1 r ar n n1 P R a 1 r 1 2 n 2n nn n n a r r 1 r 1 n n n a r 1 r 1 n S Hence, P R n S 2 n n r n 1 n n nn1 a r r 1 n n n 1 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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