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Problem 4 Consider these initial terms of a sequence: (11 = 1, a2 = 5,113 = 14, a4 = 30, a5 = 55, - -

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Problem 4 Consider these initial terms of a sequence: (11 = 1, a2 = 5,113 = 14, a4 = 30, a5 = 55, - - - Each term is actually the value of a summation. a1=1 a2=1+4=5 a3=1+4+9=14 a4=1+4+9+16=30 1. We can express a arbitrary term ak recursively by referring to previous terms. Write a recursive formula for ak. 2. Let's generalize the term into a formula that does not use previous terms. For a given ak, ll in the following formula k ak = Z \"3?? i=1

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