Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ Exercise 9.3 Question 1: Find the 20 th and Solution 1: The given G.P. is Here, a First term r Common ratio , , ,.... 2 4 8 th n terms of the G.P. 5 5 5 5 5 5 , , ,.... 2 4 8 5 2 5 / 4 1 5 / 2 2 19 20 1 5 1 5 5 20 19 20 a ar 22 2 2 2 a n1 n1 5 1 5 5 n ar n1 n 22 2 2 2 Question 2: Find the 12 th term of a G.P. whose 8 th term is 192 and the common ratio is 2. Solution 2: Common ratio, r = 2 Let a be the first term of the G.P. 7 7 6 a ar ar ar a a 81 7 7 8 192 2 192 7 2 3 6 2 2 3 3 a 7 2 12 1 3 **11** 10 a 12 ar 2 32 3072 2 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 3: The 5 th , 8 th and **11** th terms of a G.P. are Solution 3: Let a be the first term and r a a r a r p 51 4 5 ........ 1 a a r a r q 81 7 8 ........ 2 a a r a r s **11**1 10 **11** ........ 3 Dividing equation (2) by (1), we obtain a r a r r 3 7 4 q p q p ....... 4 Dividing equation (3) by (2), we obtain a r a r 10 7 r 3 s q s q Equating the values of q s p q q 2 ps ...... 5 3 r Thus, the given result is proved. pq , and s , respectively. Show that 2 q ps be the common ratio of the G.P. According to the given condition, obtained in (4) and (5), we obtain . Question 4: The 4 th term of a G.P. is square of its second term, and the first term is term. Solution 4: Let a be the first term and r be the common ratio of the G.P. a 3 It is known that, an a ar r 3 3 4 3 a a r r 1 2 3 ar n 1 According to the given condition, 3. Determine its 7 th Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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