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Suppose you want to use the pr...
Suppose you want to use the principle of mathematical induction to prove that 1 + 2 + 22 + 23 + 23 + ... + 2n = + 2n+1 - 1 for all non-negative integers n. Which of theses is the correct statement P(k) in the inductive step?
1 + 2 + 22 + 23 + 24 + + 2k + 2k+1
2k+1 - 1
2k = + 2k+1 - 1
1 + 2 + 22 + 23 + 24 + + 2k = 2k+1 - 1
Correct
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