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 G.P.

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., then prove that a, c, e are in G.P.

If a,b,c,d,e are five numbers such that a,b,c are in A.P., b,c,d are in G.P. and c,d, e ar in H.P. prove that a,c,e are in G.P.

"If "(1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P.

If a,b,c are in A.P. as well as in G.P. then

If 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,d,e be 5 numbers such that a,b,c are in A.P; b,c,d are in GP & c,d,e are in HP then prove that a,c,e are in GP

If (b+c)/a ,(c+a)/b ,(a+b)/c are in A.P., prove that : b c ,\ c a ,\ a b are in A.P.

If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

If a,b,c are in G.P. and a,x,b,y,c are in A.P., prove that : (1)/(x)+(1)/(y)=(2)/(b)

If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ b ,\ c are in A.P.