Category class 10

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…