
Mathematical Induction Concepts

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial step in proving a statement by mathematical induction?
Conclude the proof
Test the base case
Prove the statement for n=k+1
Assume the statement is true for n=k
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression we are trying to prove divisible by seven?
8^n - 2 * 7^m + 1
8^n + 7^m - 2
8^n - 7^m + 2
8^n + 2 * 7^m - 1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the base case in mathematical induction?
It concludes the proof
It assumes the statement is true
It verifies the statement for the smallest n
It proves the statement for all n
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the assumption step of mathematical induction, what do we assume?
The statement is false for n=k
The statement is true for n=k
The statement is true for n=k+1
The statement is false for n=k+1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we handle the expression 8^k + 2 * 7^k - 1 in the assumption step?
Assume it equals a positive integer
Assume it equals a negative number
Assume it equals zero
Assume it equals a multiple of seven
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of transitioning from the assumption to the next case in induction?
To prove the statement for n=k+1
To verify the assumption
To conclude the proof
To prove the base case
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to identify and correct mistakes during the proof process?
To avoid using assumptions
To confuse the reader
To ensure the proof is valid
To make the proof longer
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