Question

Asked Jun 5, 2019

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Repeat the following procedure for the four given numbers.

Multiply the number by 4. Add 4 to product. Divide this sum by 2. Subtract 2 from quotient.

The 1st number is 1. The Result is 2

The 2nd number is 5. The result is 10

The 3rd number is 8. The result is 16

The 4th number is 11. The result is 22

a. Write a conjuncture that relates the result of the process to the original number selected. Represent the original number as n.

The result is 2n

b. Represent the original number as n and use that deductive reasoning to prove the conjecture in part a. Multiply the number by 4. The result is?

Step 1

The first number is 1

Step-1 Multiplying by 4 we get =1*4 = 4

Step-2 Add 4 to the product we get = 4+4 = 8

Step-3 Divide sum by 2 = 8/2 = 4

Step-4 Subtract 2 from quotient = 4-2 = 2 (result)

The second number is 5

step-1 Multiplying by 4 we get =5*4 = 20

step-2 Add 4 to the product we get = 20+4 = 24

step-3 Divide sum by 2 = 24/2 = 12

step-4 Subtract 2 from quotient = 12-2 = 10 (result)

The third number is 8

step-1 Multiplying by 4 we get =8*4 = 32

step-2 Add 4 to the product we get = 32+4 = 36

step-3 Divide sum by 2 = 36/2 = 18

step-4 Sub...

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