Infinite Geometric Series
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
Standards-aligned
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14 questions
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1.
FLASHCARD QUESTION
Front
What is an infinite geometric series?
Back
An infinite geometric series is the sum of the terms of a geometric sequence that continues indefinitely. It converges if the absolute value of the common ratio is less than 1.
2.
FLASHCARD QUESTION
Front
What is the formula for the sum of an infinite geometric series?
Back
The sum S of an infinite geometric series can be calculated using the formula: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio.
3.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric series?
Back
The common ratio 'r' in a geometric series is the factor by which each term is multiplied to get the next term.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
How do you determine if an infinite geometric series converges?
Back
An infinite geometric series converges if the absolute value of the common ratio |r| is less than 1.
6.
FLASHCARD QUESTION
Front
Back
7.
FLASHCARD QUESTION
Front
What happens to the sum of an infinite geometric series if the common ratio is greater than or equal to 1?
Back
If the common ratio is greater than or equal to 1, the series diverges, meaning it does not have a finite sum.
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