What is the initial sequence given in the problem?

Understanding Sequences and Recurrence Relations

Interactive Video
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Mathematics
•
9th - 12th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1, 3, 6, 10, 15, 21
2, 4, 8, 16, 32, 64
5, 10, 20, 40, 80, 160
3, 5, 11, 21, 43, 85
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the term a sub 6 calculated?
By adding 2 times the previous term to the current term
By adding 2 times the term before the previous term to the previous term
By multiplying the previous term by 2
By subtracting the previous term from the current term
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the recursive formula for the sequence?
a sub n = 2 * a sub n-1 + a sub n-2
a sub n = a sub n-1 + 2 * a sub n-2
a sub n = a sub n-1 + a sub n-2
a sub n = a sub n-1 - 2 * a sub n-2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the initial conditions required for the recursive definition?
a sub 0 = 5, a sub 1 = 10
a sub 0 = 3, a sub 1 = 5
a sub 0 = 1, a sub 1 = 2
a sub 0 = 2, a sub 1 = 4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the characteristic equation derived from the recurrence relation?
x^2 + x + 2 = 0
x^2 - x - 2 = 0
x^2 - 2x + 1 = 0
x^2 + 2x - 1 = 0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the roots of the characteristic equation?
x = 1 and x = -2
x = 0 and x = 3
x = 2 and x = -1
x = -1 and x = 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the solution to the recurrence relation?
a sub n = a * n^2 + b * n
a sub n = a * 2^n + b * (-1)^n
a sub n = a * 3^n + b * 2^n
a sub n = a * n + b * n^2
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