The pth and qth terms of an A.P. are x and y respectively. Prove that the sum of (p + q) terms is.
`(p+q)/(2)[x+y+(x-y)/(p-q)].`

The pth and qth terms of an A.P. are (1)/(4)and(1)/(p) respectively. Prove that the sum of (pq) terms will be (1)/(2)(pq+1)" where "p ne q.

If the pth and qth terms of an A.P. be a and b respectively, show that the sum of first (p+q) terms of the A.P. is (p+q)/(2)(a+b+(a-b)/(p-q)) .

if the pth term of an A.P.is x and qth term is y, show tht the sum of (p+q) terms is (p+q)/(2)[x+y+((x-y)/(p-q))]

If the pth and qth terms of a GP are q and p respectively,then (p-q) th terms is :

In an A.P. the pth and qth terms are respectively a and b. Show that the sum of first p + q terms is (p+q)/2{(a+b)+(a-b)/(p-q)} .

The pth, qth and rth terms of an A.P. are a, b and c respectively. 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 a^(q-r)b^(r-p)c^(p-q)=1 .

If ‘a’ and ‘b’ are respectively the pth and qth terms of an A.P., show that the sum of (p + q) terms is (p+q)/2[(a + b) + (a- b)/(p - q)] .

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

The pth, qth and rth term of a G.P. are x, y, z respectively, then prove that- x^(q-r).y^(r-p).z^(p-q)=1 .