Logic and Reasoning: Inductive Reasoning

What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...

• 17
• 20
• 21
• 24

Tags

CCSS.HSF.IF.A.3

If something is an angle, then it is acute. What is an appropriate counter-example?

• 70⁰

• 45⁰

• 120⁰

• True. There is no counterexample.

Tags

CCSS.HSG.CO.A.1

Use inductive reasoning to finish the pattern: 400, 200, 100, 50, ____

• -150
• 25
• 12.5
• 0

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

• or

• therefore

• not

• and

Tags

CCSS.HSS.CP.A.1

• therefore

• or

• and

• not

Tags

CCSS.HSS.CP.A.1

• not

• therefore

• and

• or

Tags

CCSS.HSS.CP.A.1

A conjecture is:

• a false example in a compound statement

• a compound statement using and or nor

• a concluding statement reached during inductive reasoning

• an educated guess based on empirical data, collected by a calculator

Which statement is a conjecture about the sum of two odd numbers?

• Their sum is even

• Their sum is 14

• Their sum is odd

• Their sum is positive

Tags

CCSS.7.NS.A.1

Inductive Reasoning means...

• Guessing

• Testing and observing patterns to make conjectures

• Explaining why

• Adding numbers together

Tags

CCSS.4.OA.C.5

Determine if the following conjecture is true; if not, give a counterexample:

Two complementary angles are both acute.

• True

• False; 25 + 35 = 60

• False; 110 + 70 = 180

• False; 60 + 120 = 180