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Arithmetic Series 8 1. Find the sum 5' = 1 + 3 + 5 + ' ' ~ + 13 + 15 = :(271 1) by doing the following: 1121 0 Copy down the series S in increasing order. 0 Underneath this, write the series 3 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