To proof: the given statement by using mathematical induction.
Explanation of Solution
Given information:
Binomial Theorem is valid for all positive integral values of
Calculation:
Binomial Theorem states that for
The base for
The induction hypothesis for
The induction step is given below.
We need to prove that for
By using the induction hypothesis,
We have completed our proof with two identities for any natural number
Thus equation (1) can be rewritten as follows:
Hence, the given condition is proved.
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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