
Geometric Progressions and Their Limits

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

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main characteristic that differentiates a GP from an AP?
Division by a constant term
Subtraction of a constant term
Multiplication by a constant term
Addition of a constant term
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the sum of a GP with a given first term, ratio, and number of terms?
a / (1 - r)
a + (n-1)d
a * (1 - r^n) / (1 - r)
a * r^(n-1)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which case do the terms of a GP decrease in size?
When the ratio is less than -1
When the ratio is between -1 and 1
When the ratio is greater than 1
When the ratio is exactly 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to r^n as n approaches infinity in a GP where the ratio is between -1 and 1?
It approaches infinity
It approaches zero
It remains constant
It becomes undefined
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the concept of 'sum to infinity' considered misleading?
Because it always results in zero
Because it only applies to APs
Because it requires complex calculations
Because infinity is not a number
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the limiting sum in a GP?
It identifies the first term of the series
It determines the maximum value of the series
It shows the behavior of the series as the number of terms increases
It calculates the average of the series
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the limit as n approaches infinity to a GP with a ratio between -1 and 1?
The sum becomes negative
The sum becomes a finite value
The sum becomes zero
The sum becomes infinite
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