[" 19.Let a b and c be inG.with common ratio "r" ,where "a!=0" and "0

Let a, b and c be in GP with common ratio, r where a !=0 and 0 lt r le (1)/(2) . If 3a, 7b and 15 c are the first three terms of an AP, then the 4th term of this AP is

Let a, b and c be in GP with common ratio, r where a !=0 and 0 lt r le (1)/(2) . If 3a, 7b and 15 c are the first three terms of an AP, then the 4th term of this AP is

Let a,b and c be in G.P. with common ratio r, where a != 0 and 0 lt r le (1)/(2) . If 3a, 7b and 15c are the first three terms of an A.P., then the 4^(th) term of this A.P. is

If a,b,c are in G.P. with common ratio r_(1) and alpha , beta, gamma are in G.P. with common ratio r_(2) , and equations ax + alpha y + z = 0, bx + beta y + z = 0, cx + gamma y + z = 0 have only zero solution. Then which of the following is not true. a) r_(1)!=1 b) r_(2)!=1 c) r_(1)!=r_(2) d)None of these

If a, b, c form a G.P. with common ratio r such that 0 < r < 1, and if a,3/2b ,-4c form an AP, then r is equal to

If a ,b ,c are in G.P. with common ratio r_1a n dalpha,beta,gamma are in G.P. with common ratio r_2 and equations a x+alphay+z=0,b x+betay+z=0,c x+gammay+z=0 have only zero solution, then which of the following is not true?

If a ,b ,c are in G.P. with common ratio r_1a n dalpha,beta,gamma are in G.P. with common ratio r_2 and equations a x+alphay+z=0,b x+betay+z=0,c x+gammay+z=0 have trivial solution, then which of the following is not true? (a) r_1 != 1 (b) r_2 != 1 (c) r_1 != r_2 (d) None of these