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Example Questions
Example Question #32 : Sequences And Series
Find the value for
Possible Answers:
Correct answer:
Explanation:
To best understand, let's write out the series. So
We can see this is an infinite geometric series with each successive term being multiplied by .
A definition you may wish to remember is
where stands for the common ratio between the numbers, which in this case is or . So we get
Example Question #2 : Finding Sums Of Infinite Series
Evaluate:
Possible Answers:
The series does not converge.
Correct answer:
Explanation:
This is a geometric series whose first term is and whose common ratio is . The sum of this series is:
Example Question #1 : Finding Sums Of Infinite Series
Evaluate:
Possible Answers:
The series does not converge.
Correct answer:
Explanation:
This is a geometric series whose first term is and whose common ratio is . The sum of this series is:
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