2.1 Inductive Reasoning (Geom)

Choose a conjecture that best satisfies the sequence.
0, 2, 4, 6, 8

• Each element in the pattern is four more than the previous element ; 12
• Each element in the pattern is two more than the previous element ; 10
• Each element int he pattern is twice the previous element; 16
• Each element in the pattern is the previous number squared; 64

Choose a conjecture that best satisfies the sequence.
1, 0.5, 0.25, 0.125

• Each element is one fourth the previous element; 0.03125
• Each element is twice the previous element; 0.25
• Each element is one half the previous element; 0.0625
• Each element is the previous element squared; 0.15625

Choose a conjecture that best satisfies the sequence.
Arrival times: 3:00 PM, 12:30 PM, 10:00 AM...

• Each arrival time is 1 hour and 30 mins prior to the previous arrival time; 8:30 AM
• Each arrival time is 2 hours and 30 mins prior to the previous arrival time; 7:30 AM
• Each arrival time is 3 hours and 30 mins prior to the previous arrival time; 6:30 AM
• Each arrival time is 2 hours prior to the previous arrival time; 8:00 AM

Choose a conjecture that satisfies the statement.
The product of two odd numbers.

• The product is an odd number.
• The product is an even number.
• The product is always one.
• The product is negative.

Choose a conjecture that satisfies the statement.
The relationship between the areas of a square with side x and a rectangle with sides x and 2x.

• The area of the rectangle is half the area of the square.
• The area of the rectangle is triple the area of the square. 
• The area of the rectangle is four times the area of the square.
• The area of the rectangle is two times the area of the square. 

Determine whether the conjecture is true or false.
If n is a prime number, then n + 1 is not prime.

• True
• False

Determine whether the conjecture is true or false.
If x is an integer, then -x is positive.

• True
• False

Determine whether the conjecture is true or false.
If you have three points A, B, and C, then A, B, and C are noncollinear.

• True
• False

Determine whether the conclusion is based on inductive or deductive reasoning. 
If Eduardo decides to go to a concert tonight, he will miss football practice. Tonight, Eduardo went to a concert. Eduardo missed football practice.

• Inductive Reasoning
• Deductive Reasoning

Determine whether the conclusion is based on inductive or deductive reasoning. 
Every Wednesday Lucy's mother calls. Today is Wednesday, so Lucy concludes her mother will call.

• Inductive Reasoning
• Deductive Reasoning