Q 1 Exercise 5.1 Arithmetic Progression (AP) C lass 10

Q5 exercise- 2.1

Q4 exercise- 2.1

Q6, exercise- 2.1

Q7, exercise- 2.1

Arithmetic progression | class 10 | Exercise 5.1 |

Let b_i > 1 for i =1, 2,....,101. Suppose log_e b_1, log_e b_2,....,log_e b_101 are in Arithmetic Progression (A.P.) with the common difference log_e 2 . Suppose a_1, a_2,...,a_101 are in A.P. such that a_1 = b_1 and a_51 = b_51 . If t = b_1 + b_2+.....+b_51 and s = a_1+a_2+....+a_51 then

Let V(r) denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1). Let T(r)=V(r+1)-V(r)-2 and Q(r) =T(r+1)-T(r) for r=1,2 Which one of the following is a correct statement? (A) Q_1, Q_2, Q_3………….., are in A.P. with common difference 5 (B) Q_1, Q_2, Q_3………….., are in A.P. with common difference 6 (C) Q_1, Q_2, Q_3………….., are in A.P. with common difference 11 (D) Q_1=Q_2=Q_3

Soppose that all the terms of an arithmetic progression (AP) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6:11 and the seventh term lies between 130 and 140, then the common difference of this AP is