
Recursive Sequences
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Mathematics
9th - 12th Grade
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the common ratio in the sequence {7, 35, 175, 875, ...}?
2
3
4
5
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you determine if a sequence is geometric?
A sequence is geometric if each term after the first is found by adding a constant to the previous term.
A sequence is geometric if each term after the first is found by multiplying the previous term by a constant called the common ratio.
A sequence is geometric if the difference between consecutive terms is constant.
A sequence is geometric if the ratio between consecutive terms is constant.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the first term in the sequence defined by a_n = 2a_(n-1) + n with a_0 = 0?
0
1
2
3
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the recursive rule for the Fibonacci sequence?
f_n = f_(n-1) + f_(n-2) with initial conditions f_0 = 0 and f_1 = 1.
f_n = f_(n-1) - f_(n-2) with initial conditions f_0 = 1 and f_1 = 1.
f_n = 2*f_(n-1) with initial conditions f_0 = 0 and f_1 = 1.
f_n = f_(n-1) + 2*f_(n-2) with initial conditions f_0 = 0 and f_1 = 1.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of the initial term in a recursive sequence?
It determines the common difference in an arithmetic sequence.
It serves as the starting point for generating all subsequent terms in the sequence.
It is irrelevant to the sequence's behavior.
It defines the maximum value of the sequence.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the first four terms of the sequence defined by a_n = 2a_(n-1) + n with a_0 = 0?
0, 1, 4, 10
0, 1, 4, 11
0, 2, 4, 11
1, 2, 3, 4
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the recursive rule for the sequence {1, 2, 3, 5, 8, ...}?
f_n = f_(n-1) + f_(n-2) with f_1 = 1 and f_2 = 2
f_n = f_(n-1) + f_(n-2) with f_1 = 0 and f_2 = 1
f_n = 2 * f_(n-1) with f_1 = 1
f_n = f_(n-1) + 2 with f_1 = 1
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