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Prove the following by using the principle of mathematical induction for all .
Let P(n) : I. For n = 1,
∴ P(1) is trueII. Let the statement be true for n = m,
∴ P(m): ...(i)III. For n = m + 1, or or ... (ii)
∴ which is true
∴ P (m + 1) is true.
∴ P(m) is true P(m + 1) is true.Hence, by the principal of mathematical induction, P(n) is true for all