Recall that 72 i = n(n+1) 2 (a) Use the above formula (not induction) to find and prove a formula for 2 +4+ Express your final answer as a simplified fraction involving n. (b) Use induction to prove your formula in (a). (c) Use (a) to find and prove a formula for 1+3+5+. + (2n-1). Express your final answer as a simplified fraction involving n. (d) Use induction to prove your formula in (c). + 2n.

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