CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -10 If 17th term of an A.P. exceeds its 10th term by 7. Find the common difference ANSWER: We know that,For an A.P., an = a + (n − 1) da17 = a + (17 − 1) da17 = a + 16dSimilarly, a10 = a + […]
CLASS-10 MATH’S EXERCISE 5.2 Q-9
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -9 If the 3rd and the 9th terms of an A.P. are 4 and − 8 respectively. Which term of this A.P. is zero. ANSWER: Given that,a3 = 4a9 = −8We know that,an = a + (n − 1) da3 = a + (3 − 1) […]
CLASS-10 MATH’S EXERCISE 5.2 Q-8
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -8 An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term ANSWER: Given that,a3 = 12a50 = 106We know that,an = a + (n − 1) da3 = a + (3 − 1) d12 […]
CLASS-10 MATH’S EXERCISE 5.2 Q-7
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -7 Find the 31st term of an A.P. whose 11th term is 38 and the 16th term is 73 ANSWER: Given that,a11 = 38a16 = 73 We know that,an = a + (n − 1) da11 = a + (11 − 1) d38 = a + […]
CLASS-10 MATH’S EXERCISE 5.2 Q-6
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -6 Check whether − 150 is a term of the A.P. 11, 8, 5, 2, … ANSWER: For this A.P.,a = 11d = a2 − a1 = 8 − 11 = −3Let −150 be the nth term of this A.P. We know that, Clearly, n is […]
CLASS-10 MATH’S EXERCISE 5.2 Q-5
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -5 Find the number of terms in each of the following A.P. ANSWER: I. 7, 13, 19, …, 205For this A.P.,a = 7d = a2 − a1 = 13 − 7 = 6 Let there are n terms in this A.P. an = 205We know thatan […]
CLASS-10 MATH’S EXERCISE 5.2 Q-4
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -4 Which term of the A.P. 3, 8, 13, 18, … is 78? ANSWER: 3, 8, 13, 18, …For this A.P.,a = 3d = a2 − a1 = 8 − 3 = 5 Let nth term of this A.P. be 78. Hence, 16th term of this […]
CLASS-10 MATH’S EXERCISE 5.2 Q-3
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -3 In the following APs find the missing term in the boxes ANSWER: For this A.P., a = 2a3 = 26 We know that, an = a + (n − 1) d a3 = 2 + (3 − 1) d26 = 2 + 2d24 = 2dd […]
CLASS-10 MATH’S EXERCISE 5.2 Q-1
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -1 Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the A.P. ANSWER: I. a = 7, d = 3, n = 8, an = ?We know that,For an A.P. […]
CLASS-10 MATH’S EXERCISE 5.1 Q-4
CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -4 Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. ANSWER: (i) 2, 4, 8, 16 … a2 − a1 = 4 − 2 = 2a3 − a2 = 8 − 4 = 4a4 […]