Please help me finish this proof. Thanks!

1. (2 points) Warm up: complete the following proof that 2n is even for all n20 Proof. BASE CASE: First note that 2n is even for 0 and 1, since 20 0 and 21 2 are even. INDUCTIVE HYPOTHESIS: Now, apply the induction hypothesis and assume that 2n is [fill in INDUCTIVE CASE: We need to show that 2(n+1) must also be even. If so, then we carn claim by induction that the property hold for all n. That is easy to show becausefill in] FINALLY: Therefore, since it holds for 0, 1 and for all n+1 where n2 1assuming it holds for n, then by the principle of mathematical induction, 2n is even for alln 2 0 must be true