
Understanding Proof by Induction
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the upside-down 'A' symbol represent in the math meme?
For all or for every
Approximately equal to
There exists
Not equal to
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the basis step in a proof by induction?
To prove the statement for negative integers
To prove the statement for the last integer
To prove the statement for all integers
To prove the statement for the first positive integer
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the domino analogy, what does the induction step ensure?
The first domino is knocked over
Each domino knocks over the next one
No dominoes are knocked over
The last domino is knocked over
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mistake is humorously highlighted in the meme regarding induction proofs?
Using the wrong symbols
Proving the wrong statement
Forgetting the induction step
Forgetting the basis step
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What could happen if the basis step is skipped in an induction proof?
The proof could show that only odd integers are equal
The proof could show that no integers are equal
The proof could incorrectly show that all positive integers are equal
The proof could show that only even integers are equal
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the flawed proof example, what was the main issue with the basis step?
It only proved the n=1 case, not the n=2 case
It proved the n=2 case, not the n=1 case
It proved the n=3 case, not the n=2 case
It proved the n=1 case, not the n=3 case
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to prove the n=2 case in some induction proofs?
Because it is the first case
Because it is the last case
Because it is always the most difficult case
Because the induction step may rely on it
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