Find the mistakes in the proof fragments. Theorem: For any integer n≥0,
1+2+22+⋯+2n=2n+1−1. “Proof (by mathematical induction):
Let the property P(n) be 1+2+22+⋯+2n=2n+1−1.
Show that P(0) is true: The left-hand side of P(0) is 1+2+22+⋯+20=1 and the right-hand side is 20+1−1=2−1=1 also. So P(0) is true."