Question: 1. Use induction to show that for all k 0 n 2 i =2 n+1 -1 i=0 Define a sequence by a 0 = 1

1.

Use induction to show that for all k 0

n

2i =2n+1-1

i=0

Define a sequence by a0 = 1 and ak = ak-1 + 3 for k > 1. For all n > 0 show that

an = an-1 + 3.

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