Problem Solving and Reasoning Quiz

What is the process of reaching a general conclusion by examining specific examples?

• Deductive Reasoning

• Inductive Reasoning

• Polya's Problem Solving Strategy

• Difference Table

What is the term used to represent the nth term of a sequence?

• a₁

• a₂

• a₃

• an

What is the formula to find the nth term of a sequence with a constant difference?

• nth term = dn + (a - d)

• nth term = 3n - 2

• nth term = n(n+1)/2

• nth term = 3n + (1-3)

What is the first step in Polya's Four-Step Problem Solving Strategy?

• Devise a Plan

• Carry Out the Plan

• Review the Solution

• Understand the Problem

What is the next number in the sequence: 3, 6, 9, 12, 15, ...?

• 16

• 17

• 18

• 19

What is the next number in the sequence: 1, 3, 6, 10, 15, ...?

• 18

• 19

• 20

• 21

What is the period of a pendulum that has a length of 49 units?

• 5 heartbeats

• 6 heartbeats

• 7 heartbeats

• 8 heartbeats

If the length of a pendulum is quadrupled, what happens to its period?

• It doubles

• It triples

• It quadruples

• It remains the same

What type of reasoning is used to establish a conjecture?

• Deductive Reasoning

• Inductive Reasoning

• Polya's Problem Solving Strategy

• Difference Table

What is the next term in the sequence: 14, 27, 44, 65, ...?

• 80

• 85

• 90

• 95