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Math 20 2 inductive and deductive reasoning

26/11/2021 Client: muhammad11 Deadline: 2 Day

Deductive Reasoning Assignment

CBe-Learn Math 20-2 Inductive and Deductive Reasoning Unit

Math 20‐2 : Deductive Reasoning Assignment Name:

Mark: /10 = % Teacher:

1. Examine the relationship below:

1 2 3 6 3 ∙ 2 6 5 6 7 18 3 ∙ 6 18 10 11 12 33 3 ∙ 11 33 …

a) Give another example that shows the same pattern. (1)

b) Describe the pattern. (1)

c) Danielle makes the following conjecture: When you add three consecutive numbers, your answer is always a multiple of 3. Use deductive reasoning to prove that Danielle’s conjecture is true for all integers. (3)

CBe-Learn Math 20-2 Inductive and Deductive Reasoning Unit

2. Sandra found this number trick on Internet. Think about the date of your birthday.

 Take the number for the month of your birthday. (For example, April = 4, December = 12)  Multiply the number by 5  Add 3  Multiply by 4  Add 5  Multiply by 5  Add the day of your birthday  Subtract 85  Write your answer

a) State your birth date and determine the answer. Show each step of the process. (2)

b) Let m represent the number for the month of your birthday and d represent the day.

Prove how this trick works using deductive reasoning. (3)

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