What is the first step in proving a statement using mathematical induction?

Mathematical Induction and Divisibility

Interactive Video
•
Mathematics
•
7th - 12th Grade
•
Hard

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Assume the statement is false for n = 1
Prove the statement is true for n = 1
Assume the statement is true for n = k
Prove the statement is true for n = k + 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression 6^n + 4, what is the base case for proving divisibility by 5?
n = 1
n = 3
n = 2
n = 0
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of the induction step in mathematical induction?
To assume the statement is true for n = k
To find a counterexample
To prove the statement for n = 1
To prove the statement for n = k + 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What expression do we need to prove is divisible by 5 in the second problem?
6^n + 4
7^n - 2^n
5^n - 3^n
n(n + 2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression 7^n - 2^n, what is the base case for proving divisibility by 5?
n = 0
n = 3
n = 1
n = 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the greatest common factor used in the proof of 7^n - 2^n?
5
2
7
3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression to prove divisibility by 4 in the third problem?
5^n - 3^n
n(n + 2)
7^n - 2^n
6^n + 4
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