Answer
The Main equation is :
--(k − 1) + 2 = k + 1 miles.
Work Step by Step
--Basis step:
-We are told we can run one mile, so P(1) is true.
--Inductive step:
-Assume the inductive hypothesis, that we can run any number of
miles from 1 to k.
-We must show that
we can run k + 1 miles. If k = 1, then we are already told that we can run two miles.
- If k > 1, then the inductive hypothesis
tells us that we can run k − 1 miles, so we can run
(k − 1) + 2 = k + 1 miles.
