Concept explainers
To prove
Given:
Concept Used:
An identity can be proved using mathematical induction in two steps:
First prove the identity is true for
Prove that if it is true for
Calculation:
In order to prove
Use mathematical induction.
First, let’s proof that the identity is true for
For, the left hand side of given identity is:
And right hand side is:
Thus, the given identity is true for
Now, let it is true for
Now, let’s show that it is also true for
Adding
Take left side of above and simplify as
Thus, the identity is also true for
Thus by mathematical induction it is proved that
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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