According to principle of mathematical induction, if P(k+1) = m^(k+1) + 5 is true then _____ must be true.(a) P(k) = 3m^(k)(b) P(k) = m^(k) + 5(c) P(k) = m^(k+2) + 5(d) P(k) = m^(k)I had been asked this question in an interview for job.The above asked question is from Principle of Mathematical Induction in division Induction and Recursion of Discrete Mathematics

According to principle of mathematical induction, if P(k+1) = m^(k+1)

1.	According to principle of mathematical induction, if P(k+1) = m^(k+1) + 5 is true then _____ must be true.(a) P(k) = 3m^(k)(b) P(k) = m^(k) + 5(c) P(k) = m^(k+2) + 5(d) P(k) = m^(k)I had been asked this question in an interview for job.The above asked question is from Principle of Mathematical Induction in division Induction and Recursion of Discrete Mathematics
Answer» Correct choice is (b) P(K) = m^(k) + 5 The BEST I can explain: By the principle of mathematical induction, if a statement is true for any number m = k, then for its successor m = k + 1, the statement also satisfies, PROVIDED the statement is true for m = 1. So, the required answer is p(k) = m^k + 5.

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