Q. In the principle of mathematical induction, which of the following steps is mandatory?

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Q. For m = 1, 2, …, 4m+2 is a multiple of ________

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Q. For any integer m>=3, the series 2+4+6+…+(4m) can be equivalent to ________

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Q. For every natural number k, which of the following is true?

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Q. For any positive integer m ______ is divisible by 4.

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Q. According to principle of mathematical induction, if P(k+1) = m⁽ᵏ⁺¹⁾ + 5 is true then _____ must be true.

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Q. Which of the following is the base case for 4ⁿ⁺¹ > (n+1)² where n = 2?

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Q. What is the induction hypothesis assumption for the inequality m ! > 2ᵐ where m>=4?

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Q. A polygon with 7 sides can be triangulated into ________

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Q. Every simple polynomial has an interior diagonal.

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Q. A polygon with 12 sides can be triangulated into _______

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Q. Let P(n) be the statement that postage of n cents can be formed using just 3-cents stamps and 5-cents stamps. Is the statements P(8) and P(10) are Correct?

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Q. Which amount of postage can be formed using just 4-cent and 11-cent stamps?

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Q. 22-cent of postage can be produced with two 4-cent stamp and one 11-cent stamp.

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Q. Which amount of postage can be formed using just 3-cent stamp and 10-cent stamps?

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Q. Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) is true; for all positive integers n, if P(n) is true then P(n+2) is true.

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Q. Suppose that P(n) is a propositional function. Determine for which positive integers n the statement P(n) must be true if: P(1) and P(2) is true; for all positive integers n, if P(n) and P(n+1) is true then P(n+2) is true.

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Q. A polygon with 25 sides can be triangulated into _______

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Q. Which of the following is contained in a recursive grammar?

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Q. ________ is the consequence of dynamic programming.

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