Class XI Chapter 9 – Sequences and Series Maths ______________________________________________________________________________ 30 d m 1 A1 a d A a d 2 2 A a d 3 3 A7 a 7d A a m d m1 1 ...... 1 According to the given condition, a 7d 5 a m 1 d 9 30 1 7 m 1 5 From1 30 9 1m 1 m 1 m 17 30 5 m1 30 m1 9 m 1210 5 m1 30m 30 9 m 2**11** 5 31m 29 9 9m1899 155m 145 155m 9m1899 145 146m 2044 m 14 Thus, the value of m is 14. Question 17: A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs. 5 every month, what amount he will pay in the 30 th installment? Solution 17: The first installment of the load is Rs. 100. The second installment of the load is Rs. 105 and so on. The amount that the man repays every month forms an A.P. The A.P. is 100, 105, **11**0 … 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 ______________________________________________________________________________ First term, a 100 Common difference, A30 a 30 1 d 100 29 5 100 145 245 d 5 Thus, the amount to be paid in the 30 th installment is Rs. 245. Question 18: The difference between any two consecutive interior angles of a polygon is 5 . If the smallest angle is 120, find the number of the sides of the polygon. Solution 18: The angles of the polygon will form an A.P. with common difference d as 5 and first term a as 120. It is known that the sum of all angles of a polygon with n sides is S 180 n 2 n n 2a n 1 d 180 n 2 2 n 240 1 5 180 2 2 n n n 240 n 1 5 360 n 2 2 240n 5n 5n 360n 720 2 5n 125n 720 0 2 n n 25 144 0 2 n n n 16 9 144 0 n n n 16 9 16 0 n n 9 16 0 n 9 or 16 180 n 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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