Show that the sequence `loga ,log((a^2)/b),log((a^3)/(b^2)),log((a^4)/(b^3)), ` forms an A.P.

Show that the sequence log a,log((a^(2))/(b)),log((a^(3))/(b^(2))),log((a^(4))/(b^(3))) forms an A.P.

Show that the sequence log a,log(ab),log(ab^(2)),log(ab^(3)),... is an A.P.Find the nth term.

Show that the sequence log a,log(ab),log(ab^(2)),log(ab^(3)),... is an A.P.Find its nth term.

The sequence log((a)/(b)),log((a^(2))/(b^(2))),log((a^(3))/(b^(3)))......... is

Find the sum of n terms of the series log a+log((a^(2))/(b))+log((a^(3))/(b^(2)))+log((a^(4))/(b^(3)))

Show that the progression loga, log(ab) , log(ab^(2)),log(ab^(3)), …. is an AP. Find its general term and the 10th term.

log (a^(2)/b)+log(a^(4)/b^(3)) + log (a^(6)/b^(3))+…… +log ((a^(2n))/b^(n))=?