If mth, nth and pth terms of a G.P. form three consecutive terms of a G.P. Prove that `m ,n ,a n dp` form three consecutive terms of an arithmetic system.

If mth,nth and pth terms of a G.P.form three consecutive terms of a Grove that m,n, and p form three consecutive terms of an arithmetic system.

If the mth, nth and pth terms of a G.P. form three consecutive terms of a geometric sequence, prove that m, n and p form three consecutive terms of an arithmetic sequence.

If 1/(x+y),1/(2y),1/(y+z) are three consecutive terms of an A.P., prove that x, y, z are three consecutive terms of a G.P.

Find k such that k+9,\ k-6 and 4 form three consecutive terms of a G.P.

If second, third and sixth terms of an A.P. are consecutive terms of a G.P. write the common ratio of the G.P.

If second third and sixth terms of an A.P. are consecutive terms o a G.P. write the common ratio of the G.P.

Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. Prove that a,b,c are the consecutive terms of a G.P.

If 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an A.P., prove that a ,b ,c are the three consecutive terms of a G.P.

If 3^(rd) , 7^(th) and 12^(th) terms of A.P. are three consecutive terms of a G.P., then the common ratio of G.P is

If second third and sixth terms of an A.P.are consecutive terms o a G.P.write the common ratio of the G.P.