Prove the following statement using induction. “For all inte…
Questions
Prоve the fоllоwing stаtement using induction. "For аll integers n ≥ 3, 2n + 1 ≤ 2n." Use good proof technique. Grаding rubric:1 pt. State the basis step, then prove it.1 pt. State the inductive hypothesis.2 pt. Complete the proof of the inductive step. [Hint: The fact that 2k − 1 ≥ 0 when k ≥ 3 can be useful] 1 pt. State the final conclusion at the end of the proof.1 pt. Label each part: the basis step, inductive hypothesis, inductive step, and conclusion. Note: To avoid the need for typing superscript exponents, you may use the expression ‘2^n’ to represent 2n. Also the ≥ symbol can be written as >=.