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 the pth,qth and rth terms of a G.P. are a, b and c respectively, Prove that aq−1br−pcp−q=1

If p^{th}, q^{th} and r^{th }terms of an A.P. and G.P. are both a, b and c respectively, show that ${a}^{b-c}{b}^{c-a}{c}^{a-b}=1$.

If the pth,qth and rth term of a G.P. are a,b,c respectively , then aq−r⋅br−p⋅cp−q is equal to