MathCastle
Proof WritingMedium

Proof Writing · Medium problem

In an induction proof that 1+2+4+⋯+2n−1=2n−11 + 2 + 4 + \cdots + 2^{n-1} = 2^n - 1, the inductive step assumes the formula for n=kn = k. Which term is added to both sides to reach n=k+1n = k + 1?

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