Question

Repeat the following procedure for the four given numbers.

Multiply the number by 8. Add 4 to the product. Divide this sum by 2. Subtract 2 from the quotient.
The 1st number is 3.
The result is
12.
The 2nd number is 6.
The result is
24.
The 3rd number is 9.
The result is
36.
The 4th number is 11.
The result is
44.
a. Write a conjecture that relates the result of the process to the original number selected. Represent the original number as n.
The result is
?  ​(Simplify your​ answer.)

Answer 1

Below.

Explanation:

Let the number be x, then,

the results = (8x + 4) / 2 - 2

So if the first number is 3 the result is 28/2 - 2 = 14-2 = 12.