Question

Repeat the following procedure for the four given numbers
Multiply the number by 4. add 12 to the product. divide this sum by 2. subtract 6 from the quotient
1st number is 3
2nd number is 6
3rd number is 8
4th number is 12
Write a conjecture that relates the result of the process to the original number selected.
represent the original number as N
the result is?

Answer 1

call then number n
first step

\[4n\]
second step
\[4n+12\]
third step
\[\frac{4n+12}{2}=2n+6\]
fourth step
\[2n+6-6=2n\]

Answer 2

SO this is a long way to multiply a number by 2.