If S1, S2, S3, ....Sm are the sums of n terms of m A.Ps whose first terms are 1, 2, 3,...m and whose common differences are 1, 3, 5,...,(2m-1) respectively, then show that S1+ S2 +S3+ ....+Sm=12mnmn+1

If $S_{1}, S_{2}, S_{3}, . . . . S_{m}$ are the sums of n terms of m A.Ps whose first terms are 1, 2, 3,...m and whose common differences are 1, 3, 5,...,(2m-1) respectively, then show that $S_{1} + S_{2} + S_{3} + . . . . + S_{m} = \frac{1}{2} m n (m n + 1)$

Matching exercise

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7