Question

Multiply the number by 4. Add 10 to the product. Divide this sum by 2. Subtract 5 from the quotient.

The first number is 1 and the result is 2

The second number is 5 and the result is 10

the third number is 9 and the result is 18

the fourth number is 10 and the result is 20

Write a conjecture that relates the result of the process to the original number selected. part a)

Represent the original number as n.

Answer is 2n

part b Represent the original number as n​, and use deductive reasoning to prove the conjecture in part​ (a). Multiply the number by 4.

Help with part b please.

Answer 1

Kindly check explanation

Explanation:

Given the following instructions :

It can be deduced from part a that the final result will be twice the original number 'n'

The number 'n' multiplied by 4 = (4 * n) = 4n

10 added to 4n = 4n + 10

The result of the sum divide by 2 = (4n + 10) / 2

= 2n + 5

5 subtracted from the result of the quotient obtained : 2n +5 - 5 = 2n

Where n is the original number.

2n = twice the original number.