If `S_1`,`S_2`,.......`S_p` are the sum of n terms of an A.P.,whose first terms are 1,2,3,...... and common differences are 1,3,5,7.....Show that `S_1`+`S_2`+.......+`S_p`=`[np]/2[np+1]`

If S_(1),S_(2),......,S_(p) are the sums of n terms of an A.P

If S_1,S_2, S_3, S_m are the sums of n terms of m A.P. ' s whose first terms are 1,2,3,....m and common differences are 1,3,5, ....(2m-1) respectively. Show that S_1+S_2.....+S_m=(m n)/2(m n+1)

If S_1,S_2, S_3, S_m are the sums of n terms of m A.P. ' s whose first terms are 1,2,3,....m and common differences are 1,3,5, ....(2m-1) respectively. Show that S_1+S_2.....+S_m=(m n)/2(m n+1)

If S_1,S_2, S_3, S_m are the sums of n terms of m A.P. ' s whose first terms are 1,2,3,....m and common differences are 1,3,5, ....(2m-1) respectively. Show that S_1+S_2.....+S_m=(m n)/2(m n+1)

If S_(1),S_(2),S_(3),...S_(m) are the sums of n terms of m A.P.'s whose first terms are 1,2,3,...,m and common differences are 1,3,5,...,(2m-1) respectively.Show that S_(1)+S_(2),...+S_(m)=(mn)/(2)(mn+1)

If S_1,S_2, S_3, S_m are the sums of n terms of m A.P. ' s whose first terms are 1,2,3, ,m and common differences are 1,3,5, ,(2m-1) respectively. Show that S_1+S_2,+S_m=(m n)/2(m n+1)

If S_1,S_2, S_3, S_m are the sums of n terms of m A.P. ' s whose first terms are 1,2,3, ,m and common differences are 1,3,5, ,(2m-1) respectively. Show that S_1+S_2,+S_m=(m n)/2(m n+1)

If S_1,S_2...S_m denote the sums of n terms of m numbers of A.P is whose first terms are 1,2,…m and common differences are 1,3,..(2m-1)respectively,Show that S_1+S_2+...+S_m=(mn)/2(mn+1)

If S_(1),S_(2),S_(3),...S_(m) be the sum of first n terms of n A.P. Whose first terms are 1,2,3,... M aand common differnece are 1,3,5,...(2m-1) respectively, show that S_(1)+S_(2)+S_(3)+...+S_(m)= (mn)/(2)(mn+1) .

If S_1,S_2 and S_3 are respectively the sums of n, 2n and 3n terms of an A.P, whose first term is a and common difference d, then find S_1,S_2 and S_3