Question
Prove the following by principle of mathematical induction for all 
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#6 {main}</pre>](/application/zrc/images/qvar/MAEN11032528-1.png)
Solution
Let 
I. For n = 1,
∴ P(1) is true
II. Suppose the statement is true for n = m, 
∴ 
III. For n = m +1,
or
∴ 
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which is true
∴ P(m + 1) is true
∴ P(m) is true 
P (m + 1) is true
Hence, by the principle of mathematical induction, P(n) is true for all 
