Use Mathematical Induction to show that any postage of at least 12 cents can be obtained by using 3-cent and 7-cent stamps. 2. Use Mathematical Induction to prove that for all integers n ≥ 5, 1 + 4n < 2^n.
Added by Sabrina A.
Step 1
Base Case: For n = 12, we can use four 3-cent stamps to obtain 12 cents. So, the base case holds. Inductive Step: Assume that for some integer k ≥ 12, we can obtain k cents using 3-cent and 7-cent stamps. We need to show that we can obtain (k+1) cents using Show more…
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