If `a_n= int_0^pi(sin(2n-1)x)/sinx dx, then a_1a_2a_3` are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If a_n= int_0^pi (sin(2n-1)x)/(sinx) dx . Then the number a_1,a_2,a_3 …….. Are in (A) A.P (B) G.P (C) H.P (D) none of these

If a^2+2bx+c=0 and a_1x^2+2b_1x+c_1=0 have a common root and a/a_1,b/b_1,c/c_1 are in AP then a_1,b_1,c_1 are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

I a_n= int_0^(pi/2) (1-cos2nx)/(1-cos2x)dx then a_1,a_2,a_3,………,a_n are in (A) A.P. only (B) G.P.only (C) H.P. only (D) A.P., G.P. and H.P.

If a,b,c are proper fractiion are in H.P. and x sum_(n=1)^oo a^n, y=sum_(n=1)^oo b^n, z= sum_(n=1)^oo c^n then x,y,z are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If a, b,c be the sides foi a triangle ABC and if roots of equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal then sin^2 A/2, sin^2, B/2, sin^2 C/2 are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If (l+mx)/(l-mx)= (m+nx)/(m-nx)=(n+px)/(n-px),x!=0 . Then the number l,m,n and p are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

log_4 5, log_20 5, log_100 5 are in (A) A.P.(C) H.P.(B) G.P.(D) none of these

If (b+c)/(a+d)= (bc)/(ad)=3 ((b-c)/(a-d)) then a,b,c,d are in (A) H.P. (B) G.P. (C) A.P. (D) none of these

Let a,b,c be positive real numers such that bx^2+(sqrt(((a+c)^2+4b^2))x +(a+c),=0, AA x epsilon R, then a,b,c are in (A) G.P. (B) A.P. (C) H.P. (D) none of these

Let a_1,a_2,a_3…………., a_n be positive numbers in G.P. For each n let A_n, G_n, H_n be respectively the arithmetic mean geometric mean and harmonic mean of a_1,a_2,……..,a_n On the basis of above information answer the following question: A_k,G_k,H_k are in (A) A.P. (B) G.P. (C) H.P. (D) none of these