Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ 4 n 1 84 n 1 21 n 22 Sum of n terms of an A.P. is given by n Sn 2a n 1 d 2 22 S22 2 13 22 1 4 2 **11** 26 84 1210 Thus, the required sum is 1210. Question 7: If f is a function satisfying n 1 f x 120, Solution 7: It is given that, f x y f x f y f 1 3 Taking We obtain Similarly, x y 1 find the value of n. in (1), . f x y f x f y for all for all x, y N ……. (1) f **11** f 2 f 1 f 1 33 9 f **11**1 f 3 f 1 2 f 1 f 2 39 27 f 4 f 1 4 f 1 f 3 3 27 81 f 1 , f 2 , f 3 , ......, ratio equal to 3. It is known that, It is given that, 3 3 n 1 120 31 S n k 1 n f x, y N, such that f 1 3 and that is 3, 9, 27,….., forms a G.P. with both the first term and common n a r 1 r 1 x 120 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 ______________________________________________________________________________ 3 n 120 3 1 2 n 3 1 80 n 3 81 3 n 4 Thus, the value of n 4 is 4. Question 8: The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms. Solution 8: Let the sum of n terms of the G.P. be 315. It is known that, S n n a r 1 r 1 It is given that the first term a is 5 and common ratio r is 2. 5 2 n 1 315 21 n 2 1 63 6 n 2 64 2 n 6 Last term of the G.P. 160 Thus, the last term of the G.P. is 160. 5 th 6 1 6 term ar 5 2 5 32 Question 9: The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P. Solution 9: Let a and r be the first term and the common ratio of the G.P. respectively. a 1 a ar r a ar r 2 4 r r 90 4 2 r r 90 0 2 2 4 4 3 5 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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