1) What is the first step of mathematic induction? a) Induction Base b) Hypotheseis c) Inductive Step 2) What is the second step of mathematic induction? a) Induction Base b) Hypothesis c) Inductive Step 3) What is the third step of mathematic induction a) Induction Base b) Hypothesis c) Inductive Step 4) The sum 1 + 2 + 3 + ... + n is given by n(n+1)/2 a) False b) True 5) Mathematical induction can be used to prove properties about real numbers a) False b) True 6) The principle of mathematical induction is used to prove statements about natural numbers. a) False b) True 7) Which of the following is not a step in mathematical induction? a) Contradiction b) Inductive Step c) Base Case d) Inductive Hypothesis 8) For n = 5, calculate 1 + 3 + 5 + ... + (2n−1) = n^2. a) 15 b) 25 c) 35 d) 30 9) What is meant by Mathematical Induction? a) A method used to prove the truth of a mathematical statement. b) A method used to prove the falsity of a mathematical statement. 10) Prove that 32^n + 22^n + 2 is divisible by 5 a) Result is positive value b) Result is negative value 11) Prove that n^3 > n for every n ≥ 2. a) The number is wrong b) The number is right 12) Prove that 3 + 9 + 15 + ... + (6n - 3) = 3n^2 for every natural number n a) True b) False

Mathematic Induction

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