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

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

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

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.

If the pth ,qth and rth terms of an AP are in G.P then the common ration of the GP is

If the pth, qth, and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is a. (p r)/(q^2) b. r/p c. (q+r)/(p+q) d. (q-r)/(p-q)

If a,b,c are pth , qth and rth terms of an A.P., find the value of |(a,b,c),(p,q,r),(1,1,1)|

If the pth term of an A.P. is q and the qth term is p , then find its rth term.

If a, b, c are in A.P. then show that 3^(a), 3^(b), 3^(c) are in G.P.