Homework Day 1

Page 11-14
#3-39 every 3rd

Use Inductive Reasoning to predict the next number in each list:
3.) 3,5,9,15,23,33,?
6.) 80,70,61,53,46,40,?
9.) 2,7,-3,2,-8,-3,-13,-8,-18,?

Use Inductive Reasoning to decide whether each statement is correct. Note: The numbers 1,2,3,4,5,... are called counting numbers or natural numbers.  Any Counting number n divided by 2 produces a reminder of 0 or 1.  If n/2 has a reminder of 0, then n is an even counting number.  If n/2 has a remainder of 1, then n is an odd counting number.
Even counting numbers: 2,4,6,8,10, ...
Odd counting numbers: 1,3,5,7,9, ...
12.) The product of an odd counting number and an even counting number is always an even counting number.
15.) Pick any counting number.  Multiply the number by 6.  Add 8 to the product.  Divide the sum by 2.  Subtract 4 from the quotient.  The resulting number is twice the original number.

Use both images above  to answer #18. 
18.) Determine the distance a ball rolls, on an inclined alone 2, during each of the following time intervals.
a) 1st second : t = 0, t = 1 second
b) 2nd second : t = 1, t = 2 second
c) 3rd second : t = 2, t = 3 second
d) 4th second : t = 3, t = 4 second
e) 5th second : t = 4, t = 5 second

Use Inductive Reasoning  and the data in the incline plane time-distance table to predict the answer to each question.
21.) If the time a ball is allowed to roll on an incline plane is doubled, what effect does this have on the distance the ball rolls?
24.) How far will a ball roll on incline plane 1 in 1.5 seconds?

Determine whether the argument is an example of induction reasoning or deductive reasoning.
27.) Every English Setter likes to hunt.  Duke is an English setter, so Duke likes to hunt.
30.) The Atlanta Braves have won five games in a row.  Therefore, the Atlanta Braves will win their next game.

Find a number that provides a counterexample to show that the given statement is false.
33.) For all numbers x, x> 1/x.
36.)For all numbers x, |x+3|=|x| +3

Find a pair of numbers that provides a counterexample to show that the given statement is false.
39.) If the sum of two counting numbers is an even counting number, then the product of the two counting numbers is an even counting number.