Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ n Sn 2 25 n1 3 2 n **11**6 50 3n 3 2 2 232 n 53 3n 53n 3n 2 3n 53n 232 0 2 3n 24n 29n 232 0 n 3n n 8 29 8 0 n n 8 3 29 0 29 n 8 or n 3 However, n cannot be equal to 29 3 therefore, a8 Last term a n 1 d 25 8 1 3 25 7 3 25 21 4 Thus, the last term of the A.P. is 4. n 8 Question 7: Find the sum to n terms of the A.P., whose term is 5 1 . Solution 7: th It is given that the k term of the A.P. is 5 1 . th k term a k 1 d a k 1 d 5k 1 k th k k a kd d 5k 1 Comparing the coefficient of k, we obtain a d 1 a 51 a 6 n Sn 2a n 1 d 2 n 26 n 15 2 d 5; k 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 ______________________________________________________________________________ n 12 5n 5 2 n 5n 7 2 Question 8: If the sum of n terms of an A.P. is , where p and q difference. Solution 8: It is known that: n Sn 2a n 1 d 2 According to the given condition, n 2a n 1 d pn qn 2 2 n 2 2a nd d pn qn 2 d d na n n pn qn 2 2 2 2 Comparing the coefficients of d q 2 d 2q 2 n pn qn 2 on both sides, we obtain Thus, the common difference of the A.P. is 2q . are constants, find the common Question 9: The sum of n terms of two arithmetic progressions are in the ratio 5n 4:9n 6 of their 18 th Solution 9: terms. . Find the ratio Let a1, a2and d1, d 2 be the first terms and the common difference of the first and second arithmetic progression respectively. According to the given condition, Sumof ntermsof first A.P. 5n 4 Sumof ntermsof second A.P. 9n 6 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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