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IFoA_CAA_M0 Exam - Topic 7 Question 89 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam
Question #: 89
Topic #: 7
[All IFoA_CAA_M0 Questions]

A geometric series is given by

Identify the values of x for which the series converges.

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Suggested Answer: B

by Jesusa at Aug 14, 2025, 11:39 AM

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Marylyn
5 months ago
Definitely not D, that’s way too broad.
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Melissia
5 months ago
I thought it was -5 < x < 5 at first!
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Ula
6 months ago
Wait, how can it only be between -1 and 1?
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In
6 months ago
Totally agree, option B is correct!
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Julio
6 months ago
The series converges when -1 < x < 1.
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Mariann
6 months ago
I think the answer is definitely between -1 and 1, but I’m worried I might be mixing it up with another topic. I should double-check my notes!
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Karol
7 months ago
I feel like I’ve seen something about convergence limits before, but I can’t recall the exact range. I hope it’s not option C or D, those seem too wide.
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Tien
7 months ago
I’m a bit unsure, but I think I practiced a similar question where the convergence condition was based on the ratio. Could it be option B?
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Tomas
7 months ago
I remember that for a geometric series to converge, the absolute value of the common ratio must be less than 1. So, I think it might be related to x being between -1 and 1.
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Alpha
7 months ago
Wait, what? The question is asking about the values of x for which the series converges, but the options don't seem to match the typical convergence condition. I better re-read this carefully and make sure I understand it properly.
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Dalene
7 months ago
Okay, I've got this. The series converges if |x| < 1, so the answer must be B. -1 < x < 1. Time to move on to the next question!
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Ashley
8 months ago
Hmm, I remember learning about this in class, but I'm a bit fuzzy on the details. Let me think through the key properties of geometric series and see if I can figure out the correct answer.
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Isabelle
8 months ago
This looks like a straightforward question on the convergence of geometric series. I'll start by reviewing the conditions for convergence and then apply them to the given series.
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Tayna
8 months ago
I believe the correct answer is B) -1 < x < 1 because the series converges when the common ratio is between -1 and 1.
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Kelvin
9 months ago
I agree with Margot, the series converges for -1 < x < 1 because the common ratio is between -1 and 1.
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Novella
9 months ago
Hmm, this seems straightforward. The series converges when -1 < x < 1, so I'll go with option B.
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Evangelina
8 months ago
I agree, the series converges when -1 < x < 1.
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Margot
9 months ago
I think the series converges for -1 < x < 1.
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