hello, i am having some trouble with a few induction problems.(adsbygoogle = window.adsbygoogle || []).push({});

1) Prove by induction that for all natural numbers n, n^2 + 3 < 2^n + 5.

2) Prove by induction that for all natural numbers n, (1-1/2)(1-1/4)...(1-1/(2^n)) > or equal to 1/4 + 1/(2^(n+1)).

i got started on these but ran into dead-ends for both of them.

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# Trouble with induction proofs

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