If a, b, c, d are in G.P, prove that `(a^n + b^n), (b^n + c^n), (c^n + d^n)` are in G.P.

If a, b, c are in geometric progression then log a^(n), log b^(n), log c^(n) are

a, b, c are in A.P, b, c, d are in G.P and c, d, e are in H.P, then a, c, e are in

If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in GP.

If a, b, c are in A.P., a, x, b are in G.P., and b, y, c are in G.P., then (x, y) lies on :

If a and b are distinct integers, prove that a-b is a factor of a^n - b^n , whenever n is a positive integer.

If a,b,c are three unequal numbers such that a,b,c are in A.P. And b-a, c -b , a are in G.P., then a: b : c is :

If the angles A, B, C of a triangle are in A . P and sides a, b, c are in G.P, then a^(2), b^(2), c^(2) are in

If s= sum_(n=0)^(oo) a^(n) , y = sum_(n=0)^(oo) b^(n) , z= sum _(n=0)^(oo) c^(n) , where a, b c are in A.P. and |a| lt 1, |b|lt 1 , |c| lt 1 then x,y,z are in :

lf n! , 3xxn! and (n+1)! are in G P, then n!, 5 x n! and (n+1)! are in

If a ,a_1, a_2, a_3, a_(2n),b are in A.P. and a ,g_1,g_2,g_3, ,g_(2n),b . are in G.P. and h s the H.M. of aa n db , then prove that (a_1+a_(2n))/(g_1g_(2n))+(a_2+a_(2n-1))/(g_1g_(2n-1))++(a_n+a_(n+1))/(g_ng_(n+1))=(2n)/h