Help me on this one.

Arithmetic Series 8 1. Find the sum S = 1 + 3 + 5 + - - - + 13 + 15 = 2(2n 1) by doing the following: 7L=1 0 Copy down the series 8 in increasing order. 0 Underneath this, write the series S in decreasing order. 0 Add the two lines by adding the pairs of numbers in each column. 0 Simplify the result. [Hint Determine how many terms are being added together on the right hand side] 0 Solve for S. 2. Consider the diagram below. (You may wish to add your own labels to the diagram.) 0 What part of the diagram represents the series S? 0 Explain how the diagram below represents the process completed in problem 1. 3. Findthesum S:1+2+~~~+(m2)+(m1)+m=2n usingthesamesteps n=1 as in problem 1. 4. Find the sum 3 = (d+a0)+(2d+a0)+--~+((m1)d+a0)+(md+a0) = Z(nd+a0) n=1 using the same steps as in problem 1