MATHWORLD - MODULE 3

Question 1

Use Inductive Reasoning to predict the next number.

3, 6, 9, 12, 15, ?

Answer 1

Secret

Question 2

Use Inductive Reasoning to predict the next number.

1, 3, 6, 10, 15, ?

Answer 2

Rossssyyyy

Question 3

Pick a number. Multiply by 8, add 6 to the product, divide the sum by 2, and subtract 3. Use inductive reasoning to to make a conjecture about the relationship between the size of original number.

Answer 3

Love is nothing but a series of chemical chain reaction inside the brain.

Question 4

Consider the following procedure. Pick a number. Multiply by 9, add 15 to the product, divide the sum by 3, and subtract 5.

Answer 4

baka

Question 5

Verify that the statement is a false statement by finding a counter example.

For all numbers x:
|x|>0

Answer 5

hakdog

Question 6

Verify that the statement is a false statement by finding a counter example.

For all numbers x:
x raised to 2 is greater than x

Answer 6

…

Question 7

Verify that the statement is a false statement by finding a counter example.

For all numbers x:
Square root of x raised to 2 = x

Answer 7

maybe

Question 8

Use deductive reasoning to show that the following procedures produces a number that is four times the original numbers.

Procedure: Pick a number. Multiply by 8, add 6 to the product, divide the sum by 2, and subtract 3.

Answer 8

dattebayo

Question 9

Use a difference table to predict the next term in the sequence.

2, 7, 24, 59, 118, 207, …

Answer 9

wews

Question 10

Difference table for the sequence 2, 5, 8, 11, 14, …

Answer 10

dinosaur

Question 11

Difference table for the sequence 5, 14, 27, 44, 65, …

Answer 11

big mom

Question 12

Use a difference table to predict the next term in the sequence.

1, 14, 51, 124, 245, 426, …

Answer 12

maxpein

Question 13

Finding the Nth Term Formula.

5, 9, 13, 17, 21, …`

Answer 13

???

Question 14

Finding the Nth Term Formula.

2, 7, 12, 17, 22, …

Answer 14

mama mo pink

Question 15

The first six Fibonacci numbers are 1, 1, 2, 3, 5, and 8. Use the definition of Fibonacci numbers to find the seventh and eighth Fibonacci numbers.

Question 16

Determine whether each of the following statements about Fibonacci number s true or false. Note: the first 10 terms of the Fibonacci sequence are, 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55.

a. If n is even, then Fn is an odd number.
b. 2 Fn - Fn-2 = Fn+1 for n is greater than or equal 3