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If a statement P(n) is true for n = m, where m is some given natu...

ECAT Engineering Exams Quizzes MCQs Quizzes ECAT Engineering Entry Test 2017 Mathematics Induction and Binomial Theorem

Question:
If a statement P(n) is true for n = m, where m is some given natural number, and the truth of P(n) for n = k > m implies the truth of P(n) for n = k + 1, then P(n) is true for all positive integers

Option A):
m ≥ n
Option B):
n ≥ m
Option C):
n > m
Option D):
m > n

Correct Answer is Option B):
n ≥ m

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