The first , second and the last terms of an A.P. are `a ,b , c` respectively. Prove that the sum is `((a+c)(b+c)(c-2a))/(2(b-a))` .

The first , second and the last terms of an A.P. are a ,b , c respectively. Prove that the sum is ((a+c)(b+c-2a))/(2(b-a)) .

If the first, second and the last terms of an A.P. are a,b,c respectively, then the sum of the A.P. is

If the first second and the last terms of an A.P are a,band 2a , respectively, then its sum is

If the first second and last term of an A.P. are a ,\ b ,\ a n d\ 2a\ respectively then its sum is a. (a b)/(2(b-a)) b. (a b)/(b-a) c. (3a b)/(3(b-a)) d. none of these

The first term, second term and middle term of an A.P. are a, b and c respectively. The sum of this A.P. is :

If the first, second and last term of an A.P. are a ,\ b and 2a respectively, its sum is (a b)/(2(b-a)) (b) (a b)/(b-a) (c) (3a b)/(2(b-a)) (d) none of these

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

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