
Understanding Explicit and Recursive Formulas

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

Thomas White
FREE Resource
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9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an arithmetic sequence?
A sequence where each term is divided by a constant.
A sequence where the difference between consecutive terms is constant.
A sequence where each term is multiplied by a constant.
A sequence where each term is a square of the previous term.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the sequence 6, 11, 16, 21, what is the common difference?
3
4
5
6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the common difference represented in an arithmetic sequence?
As the sum of the first and last terms.
As the constant added or subtracted between terms.
As the square root of the first term.
As the product of the first two terms.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the sequence 100, 98, 96, 94, what is the common difference?
-3
-2
-1
-4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a recursive formula?
A formula that gives the nth term directly.
A formula that describes how to find the next term from the previous one.
A formula that divides each term by a constant.
A formula that multiplies each term by a constant.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In recursive notation, what does 'X sub n equals X sub n minus 1' mean?
The nth term is the previous term minus a constant.
The nth term is the previous term plus a constant.
The nth term is the product of the first n terms.
The nth term is the sum of the first n terms.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an explicit formula?
A formula that gives the nth term directly.
A formula that describes how to find the next term from the previous one.
A formula that divides each term by a constant.
A formula that multiplies each term by a constant.
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the explicit formula f(n) = 6 + 5n, what does the 6 represent?
The first term of the sequence.
The sum of the sequence.
The last term of the sequence.
The common difference.
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are explicit formulas beneficial?
They are more accurate than recursive formulas.
They allow quick calculation of any term in the sequence.
They are easier to understand than recursive formulas.
They require less information to use.
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