Use mathematical induction to prove that the statement is true for every positive integer n. Show your work.? 2 is a factor of n^2 - n + 2
2 Answers
Please see the explanation below.
Explanation:
Let
Let the statement be
Then
The statement is true for
Let the statement be true for
Then,
Therefore,
The statement is true for
Conclusion : As the statement is true for
Please see below.
Explanation:
Induction method is used to prove a statement. Most commonly, it is used to prove a statement, involving, say
Induction method involves two steps, One, that the statement is true for
First Step For
Second Step Let
Then for
=
=
=
=
=
and
Hence,