Suppose four distinct positive numbers `a_1, a_2, a_3, a_4,` are in G.P. Let `b_1=a_1,b_2=b_1+a_2.b_3=b_2+a_3 and b_4=b_3+a_1.`

Suppose four distinct positive numbers a_1,a_2,a_3,a_4 are in G.P. Let b_1=a_1,b_2=b_1+a_2,b_3=b_2+a_3 and b_4=b_3+a_4 . Statement -1 : The numbers b_1,b_2,b_4 are neither in A.P. nor in G.P. and Statement -2 : The numbers b_1,b_2,b_3,b_4 are in H.P.

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Let bi gt 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 .

In direct proportion a_1/b_1 = a_2/b_2

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

FOr an integer nlt2, we have real numbers a_1,a_2,a_3,a_4,..........,a_n such that a_2+a_3+a_4+.......+a_n=a1 and a_1+a_3+a_4+...........+a_n=a_2...............a_1+a_2+a_3+..............+a_(n-1)=a_n what is the value of a_1+a_2+a_3+........+a_n?

Consider the following statements : A number a_1 a_2 a_3 a_4 a_5 is divisible by 9 if 1. a_1 + a_2 + a_3 + a_4 + a_5 is divisible by 9. 2. a_1 - a_2 + a_3 - a_4 + a_5 is divisible by 9. Which of the above statements is/are correct?