CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -6 The first and the last term of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum? ANSWER: Given that,a = 17l = 350d = 9Let there be n terms in the […]
CLASS-10 MATH’S EXERCISE 5.3 Q-5
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -5 The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference. AMSWER: Given that,a = 5l = 45Sn = 400 n = 16l = a + (n − 1) […]
CLASS-10 MATH’S EXERCISE 5.3 Q-3
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -3 (i) Given a = 5, d = 3, an = 50, find n and Sn.(ii) Given a = 7, a13 = 35, find d and S13.(iii) Given a12 = 37, d = 3, find a and S12.(iv) Given a3 = 15, S10 = 125, find […]
CLASS-10 MATH’S EXERCISE 5.3 Q-1
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -1 Find the sum of the following APs.(i) 2, 7, 12 ,…., to 10 terms.(ii) − 37, − 33, − 29 ,…, to 12 terms(iii) 0.6, 1.7, 2.8 ,…….., to 100 terms ANSWER: (i)2, 7, 12 ,…, to 10 termsFor this A.P.,a = 2d = a2 […]
CLASS-10 MATH’S EXERCISE 5.2 Q-19
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -19 Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. In which year did his income reach Rs 7000? ANSWER: It can be observed that the incomes that Subba Rao obtained in various […]
CLASS-10 MATH’S EXERCISE 5.2 Q-18
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -18 The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the A.P. ANSWER: We know that,an = a + (n − 1) da4 = a + […]
CLASS-10 MATH’S EXERCISE 5.2 Q-17
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -17 Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253 ANSWER: Given A.P. is3, 8, 13, …, 253Common difference for this A.P. is 5.Therefore, this A.P. can be written in reverse order as 253, 248, 243, …, 13, 8, […]