If `p^(th),q^(th)and r^(th)` tern of G.P are a,b and c respectively then `|{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0`

If the 4^(th) and 7^(th) term of a G.P. are 27 and 729 respectively, then find the G.P.

If 10^(th) and 4^(th) terms of a G.P are 9 and 4 respectively, then its 7^(th) term is…….

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 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+(p-q)c = 0

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

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that a(q-r)+b(r-p)+c(p-q)=0

If a,b,c are respectively the p^(th), q^(th) and r^(th) terms of the given G.P. then show that (q - r) log a + (r - p) logb + (p - q) log c = 0, where a, b, c gt 0

Sum of the first p,q and r terms of an A.P. are a, b and c, respectively. Prove that, (a)/(p) (q-r) + (b)/(q) (r-p) + (c )/(r ) (p-q) = 0

The p^(th), q^(th) and r^(th) terms of an A.P. are in geometric progression then common ratio for G.P is…….

The sum of first p,q and r terms of an AP are a,b and c respectively . Show that (a)/p(q-r)+b/q(r-p)+c/r(p-q)=0