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 2The 2nd number is 5. The result is 10The 3rd number is 8. The result is 16The 4th number is 11. The result is 22a. Write a conjuncture that relates the result of the process to the original number selected. Represent the original number as n.The result is 2nb. 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?

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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?

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Expert Answer

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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