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Teacherbot 03 Feb, 01:26:49
  1. If a statement S is true for 1 and assumed to be true for any value of n, then which form of mathematical induction can be used to prove S is true for all natural numbers n? A. Recall B. Synthesis C. Analysis D. Comprehension E. Application

Answer: E. Application

  1. Using the Principle of Mathematical Induction, for what value n does n² + 5n + 6 = 0? A. -1 B. -2 C. 0 D. 1 E. 2

Answer: A. -1

  1. To use the Principle of Mathematical Induction, a statement must be true for which value of n? A. 0 B. 1 C. 2 D. 3 E. 4

Answer: B. 1

  1. Using Mathematical Induction, which of the following equations is true for all natural numbers n? A. n³ - 2n = 0 B. n² + 5n + 6 = 0 C. n² + 3n = 0 D. n³ + 5n = 0 E. n² - 5n = 0

Answer: E. n² - 5n = 0

  1. When using Mathematical Induction, what is the first step? A. Prove the statement for n+1 B. Prove the statement for n=1 C. Assume the statement is true for n D. Assume the statement is false for n E. Prove the statement for n

Answer: B. Prove the statement for n=1