What is the main difference between a sequence and a series?

Exploring Arithmetic and Geometric Sequences and Series

Interactive Video
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Mathematics
•
8th - 12th Grade
•
Hard

Aiden Montgomery
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A sequence is a list of terms, while a series is a sum of terms.
A sequence uses multiplication, while a series uses addition.
A sequence is always finite, while a series is always infinite.
A sequence is a sum of terms, while a series is a list of terms.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In an arithmetic sequence, what is the common difference (D) if the sequence is 3, 5, 7, 9?
4
3
2
1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the nth term in an arithmetic sequence?
a_n = a_1 + n * D
a_n = a_1 * r^n
a_n = a_1 * r^(n - 1)
a_n = a_1 + (n - 1) * D
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a geometric sequence, what is the common ratio (r) if the sequence is 5, 15, 45, 135?
3
4
2
5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the nth term in a geometric sequence?
a_n = a_1 + n * D
a_n = a_1 * r^(n - 1)
a_n = a_1 + (n - 1) * D
a_n = a_1 * r^n
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sum of the first 10 terms of the geometric sequence 5, 15, 45, ...?
147620
147000
1476200
1470620
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the sum of an infinite geometric series?
S = a_1 * (1 + r)
S = a_1 * (1 - r)
S = a_1 / (1 + r)
S = a_1 / (1 - r)
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