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CS 250 Induction Proofs #1 Prove the following' by induction: l. 1+345+74 +12n-1] = n2 2. 2 3 2!, eventually 3. 2 2, eventually 4.

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CS 250 Induction Proofs #1 Prove the following' by induction: l. 1+345+74 +12n-1] = n2 2. 2" 3 2!, eventually 3. 2 2, eventually 4. 19(x) I-21x1 5. 1+x+x2 + x3 + +xn- , assuming x #1 6. fib(0) +fib(1) + +fib(n) = fib(n+2)-1 Assuming f.ib(0) = 0, fib(1) = 1 7. 2+3 +... +n232333 n3

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