
Geometric Series and Infinite Sums

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

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common ratio in the geometric progression consisting of the terms a half, a quarter, and an eighth?
One-eighth
One-half
One-fourth
One-third
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a partial sum in the context of geometric progressions?
The sum of a finite number of terms in a series
The product of all terms in a series
The difference between two terms in a series
The sum of all terms in an infinite series
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical concept is used to evaluate the sum of an infinite series?
Exponents
Limits
Integrals
Derivatives
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the nth term of the series 1/2, 1/4, 1/8, ...?
1/2^n
2^n
n/2
1/n^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a geometric series, what happens to the terms as the series approaches infinity?
They become negative
They approach zero
They remain constant
They increase indefinitely
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to find the sum of a geometric series when the common ratio is between 0 and 1?
a(r^n + 1) / (r + 1)
a(1 + r^n) / (1 + r)
a(r^n - 1) / (r - 1)
a(1 - r^n) / (1 - r)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't infinity be treated as a number in calculations?
It is a negative value
It is an abstract concept
It is too small
It is a constant
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