(10 points) (Exercise with summation) [n this exercise you will prove that the pattern of numbers on the right below, an, is equal to n3. Two potential solutions have been outlined for you below. Pick one. 1 a1 3+5 = a2 7+9+11 = a3 13+15+17+19 a4 21+23+25+27+29 | ' Q 01 (d) Using the previous parts as a guide, write the summation that gives the sum of the odd numbers found in rows 1 through it above. For example, if n = 3 your sum should yield the sum of all the odd numbers in rows 1, 2, and 3, which would equal 6 Z(2k1)=1+3+5+7+9+11 k=1 Your answer should be a sum that depends on the variable n. (e) Now replace the sum you found in the last step with an explicit formula of n. (f) Use the results of the previous step to nd a formula for the pattern an