If `p,q` and `r` are in AP,then prove that `(p+2q-r)(2q+r-p)(r+p-q)=4pqr`

If P,Q,R are in A.P then Q-P=…..

If a,b,c are respectively the sums of p,q,r terms of an A.P., prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=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 sum of the first p,q,r terms of an AP are a,b,c respectively, prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=0

If p,q,r are in A.P the p^(2)(q+r),q^(2)(r+p),r^(2)(p+q) are in

If p, q, r are in A.P the p^(2) (q + r), q^(2) (r + p), r^(2) (p+q) are in

Without expanding at any stage, prove that |(p+q, q+r, r+p),(q+r, r+p, p+q),(r+p, p+q, q+r)| = 2|(p,q,r),(q,r,p),(r,p,q)| .

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 p + r = 2q and 1/q + 1/s = 2/r , then prove that p : q = r : s .

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