IFoA_CAA_M0 Exam - Topic 2 Question 26 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam

Question #: 26
Topic #: 2

[All IFoA_CAA_M0 Questions]

A geometric series is given by

Identify the values of x for which the series converges.

A-1 x 1

B-1< x< 1

C-5< x< 5

D-5 x 5

Show Suggested Answer

Suggested Answer: B

by Mitsue at May 08, 2022, 11:11 PM

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Maryann

7 months ago

I thought it could be wider, like -5 to 5?

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Salena

7 months ago

Yup, definitely B! Classic geometric series rule.

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Sarah

7 months ago

Wait, how can it only be between -1 and 1?

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Jarod

7 months ago

Totally agree, option B is correct!

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Lorean

8 months ago

The series converges for -1 < x < 1.

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Dwight

8 months ago

I thought the convergence criteria were broader than just -1 to 1. Maybe it’s option C or D? I need to double-check my notes.

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Georgeanna

8 months ago

I’m not entirely sure, but I feel like we did a similar question where the convergence was linked to the ratio being between -1 and 1. Could it be option B?

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Rachael

8 months ago

I remember something about geometric series converging when the absolute value of the ratio is less than 1. So, I think it might be -1 < x < 1.

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Annette

8 months ago

I definitely recall that for geometric series, the common ratio must be less than 1 in absolute value. So, I’m leaning towards option B as the correct answer.

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Glendora

8 months ago

This looks like a tricky networking question. I'll need to carefully consider the requirements and think through the pros and cons of each option.

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Marcelle

8 months ago

Hmm, the key here is being able to enable and disable monitoring for each level as needed. I think option B might be the best approach to achieve that flexibility.

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