Category Arithmetic Progressions

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. Arithmetic Progressions Exercise 5.3 Previous Next Class 10 Arithmetic Progressions Exercise 5.3…

4. How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636? Arithmetic Progressions Exercise 5.3 Previous Next Class 10 Arithmetic Progressions Exercise 5.3 1. Find the sum of the following APs: …

3. In an AP : (i) Given a = 5, d = 3, (a_n = 50 ), find n and (S_n ). (ii) Given a = 7, (a_{13} = 35 ), find d and (S_{13} ). (iii) Given (a_{12} =…

2. Find the sums given below:  (i) (7 + 10 {1 over 2} + 14 + ………… + 84 )  (ii) 34 + 32 + 30 + ……… + 10  (iii) -5 + ( -8) + ( -11) + ……………

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 (iv) ({1 over 15}, {1…

4. Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. (i) 2, 4, 8, 16, …….  (ii) (2, frac{5}{2}, 3, frac{7}{2}, …) (iii) -1.2, -3.2, -5.2, -7.2,…

3. For the following APs, write the first term and the common difference: (i)  3, 1, – 1, – 3, . . . (ii)  – 5, – 1, 3, 7, . . . (iii) (frac{1}{3}, frac{5}{3}, frac{9}{3}, frac{13}{3}, …) (iv)…

2. Write first four terms of the AP, when the first term a and the common difference d are given as follows: (i)  a = 10, d = 10  (ii) a = –2, d = 0 (iii) a = 4,…

1. In which of the following situations, does the list of numbers involved make an arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for…