(a): Let r be a real number such that r 1. Use induction to prove the...

 

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(a): Let r be a real number such that r 1. Use induction to prove the geometric series formula: n arn i=0 = a - arn+1 1-r (b): Define an, recursively, by ao = 1 and an = 1 + Eda,. Show, using strong induction that an = 2" for all n. (a): Let r be a real number such that r 1. Use induction to prove the geometric series formula: n arn i=0 = a - arn+1 1-r (b): Define an, recursively, by ao = 1 and an = 1 + Eda,. Show, using strong induction that an = 2" for all n.