Section 1.1 Quiz (Discrete Math)

Sketch the next figure.

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Sketch the next figure.

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Use inductive reasoning to find the 6th number in the pattern.
 $-1,\ -9,\ -17,\ -25,\ ...$  

Use the inductive reasoning to the find the NEXT number in the pattern.
 $4,\ \ 16,\ \ 64,\ \ 256,\ \ ...$  

Give a counterexample to solve the conjecture below is false.
 $All\ prime\ numbers\ are\ ODD\ numbers$ 

• 2

• 3

• 18

• 7

The 1st number is 3.

Multiply the number by 4. Add 8 to the product. Divide this sum by 2. Subtract 4 from the quotient.

The result is...

The 2nd number is 5.

Multiply the number by 4. Add 8 to the product. Divide this sum by 2. Subtract 4 from the quotient.

The result is...

The 3rd number is 7.

Multiply the number by 4. Add 8 to the product. Divide this sum by 2. Subtract 4 from the quotient.

The result is...

The 4th number is 10.

Multiply the number by 4. Add 8 to the product. Divide this sum by 2. Subtract 4 from the quotient.

The result is...

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

• 2n

• 4n

• 6n

• n