Use inductive reasoning to predict the next number in each of the following lists.

1.5, 10, 15, 20, 25,___

2.3/5, 5/7, 7/9, 9/11, 11/13, 13/15, ___

3.2, 5.10.17, 26___

4.2, 7,-3, 2,-8,-3,-13,-8, -18___

5.1, 8, 27, 64, 125, ____

6.6. 80,70,61,53, 46, 40, ____

7.1,5,12, 22, 35,____

Determine whether the argument is an example of inductive reasoning or deductive reasoning.

6. Emma enjoyed reading the novel Under the Dome by Stephen King, so she will enjoy reading his next novel.

8. All pentagons have exactly five sides. Figure A is a pentagon. Therefore, Figure A has exactly fi ve sides.

9. Every English setter likes to hunt. Duke is an English setter, so Duke likes to hunt.

10. Cats don't eat tomatoes. Tigger is a cat. Therefore, Tigger does not eat tomatoes.

11. Two computer programs, a bubble sort and a shell sort, are used to sort data. In each of 50 experiments, the shell sort program took less time to sort the data than did the bubble sort program. Thus the shell sort program is the faster of the two sorting programs.

Apply Polya's Strategy to solve the following problem.

1. The product of the ages, in years, of three teenagers is 4,590. None of the teens are the same age. What are the ages of the teenagers?

2. An investor bought 20 shares of stock for a total cost of $1200 and then sold all the shares for $1400. A few months later, the investor bought 25 shares of the same stock for a total cost of $1800 and then sold all the shares for $1900. How much money did the investor earn on these investments?

3. If two ladders are placed end to end, their combined height is 31.5 feet. One ladder is 6.5 feet shorter than the other ladder. What are the heights of the two ladders?

4. In the movie Die Hard: With a Vengeance, Bruce Willis and Samuel L. Jackson are given a 5- gallon jug and a 3-gallon jug and they must put exactly 4 gallons of water on a scale to keep a bomb from exploding. Explain how they could accomplish this feat.

5. In a basketball league consisting of 12 teams, each team plays each of the other teams exactly twice. How many league games will be played?

6. How many children are there in a family wherein each girl has as many brothers as sisters, but each boy has twice as many sisters as brothers?