Chapter 3 | Problem Solving and Reasoning

What do you call to the conclusion formed by using inductive reasoning?

Do you agree that the conclusion of an inductive reasoning may or may not be valid? Justify your answer.

Do you agree that the conclusion of a deductive reasoning are valid and can be relied on? Justify your answer.

Duirng the past 10 years, a tree has produced plums every other year. Last year, the tree did not produce plums, so this year the tree will produce plums. What type of reasoning was used in the given argument? Justfiy your answer.

All home improvemnts cost more than the estimate. The contractor estimated that my home improvement will cost 1,000,000. Thus my home improvement will cost more than P1,000,000. What type of reasoning was used in the given argument?

When we examine a sequence, give two questions we naturally ask.

How do we generate the terms in a given sequence?

Explain how Fibonacci sequence contribute to problem solving with patterns.

Going back to your high school mathematics, what classification of problems do you usually encounter? Do you find them difficult to solve

Explain the concept behind heuristics.

Have a brief explanation on how Polya's framework will be carry out in porblem solving. 

Every person at a party of twenty-eight people said "hello" to each of the other people at the party exactly at once. How many "Hello's" were said at the party? Solve this using Polya's framew