Find the `20^(t h)`and `n^(t h)`terms of the G.P. `5/2`,`5/4`,`5/8,dotdotdot`

Find the 10^(t h) and n^(t h) terms of the G.P. 5, 25, 125, . . .

Find the 20th and nth term of the G.P. (5)/(2),(5)/(4),(5)/(8),…

Find 9t h term of the A.P. 3/4,5/4,7/4,9/4,\ ddot

Find the 5^(th) term of the G.P. (5)/(2),1 . . . . . . . . .

Find n t h term of the A.P. 13 ,\ 8,\ 3,\ -2,\ dot

If the p^(t h) and q^(t h) terms of a G.P. are q and p respectively, show that (p+q)^(t h) term is ((q^p)/(p^q))^(1/(p-q)) .

Find the 20^(t h) term of the series 2xx4+4xx6+6xx8+dotdotdot+n terms.

If a ,b ,c are respectively the p^(t h),q^(t h)a n dr^(t h) terms of a G.P. show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G.P., then show that (p-q),\ (q-r),\ (r-s) are also in G.P.

If the 4^(t h) , 10^(t h) and 16^(t h) terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.