If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.

If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

The 5th ,8th , 11th , terms of a G.P. are p,q and s, respectively .Show that q^(2) =ps

If the 4th , 7 th and 10th term of a G.P. be a,b,c respectively, then the relation between a,b,c is :

The 4^(th) and 9^(th) terms of a G.P. Are 54 and 13122 respectively .Find the 6^(th) term .

Find the 10th and nth term of GP: 5,25, 125,……

The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectively. Show that (q-r) a+(r-p) b+(q-p)c = 0

The 7th and 13th terms of an A.P. are 34 and 64 respectively, 1 Then its first term difference are:

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If the 2^(nd) and 5^(th) terms of G.P. are 24 and 3 respectively then the sum of 1^(st) six terms is :

If the 2^(nd) and 5^(th) terms of a G.P are 24 and 3 respectively , then the sum of 1^(st) six terms is _______