IFoA_CAA_M0 Exam - Topic 7 Question 102 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam

Question #: 102
Topic #: 7

[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 Bette at Jun 29, 2026, 01:29 AM

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Adelaide

3 days ago

I feel like A is too broad. It doesn't capture the convergence.

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Jeannetta

8 days ago

Agreed, B seems right. The ratio must be less than 1.

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Melinda

14 days ago

I think the series converges for -1 < x < 1.

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Farrah

19 days ago

Yup, definitely B) -1 < x < 1!

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Heidy

24 days ago

Just to clarify, geometric series converge when |r| < 1.

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Lawana

29 days ago

Wait, are you sure it’s not -5 < x < 5? Seems too broad.

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Alison

1 month ago

Totally agree, that's the standard range for convergence!

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Lorrine

1 month ago

The series converges for -1 < x < 1.

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Cecily

1 month ago

I feel like the answer is definitely B) -1 < x < 1, but I need to double-check the conditions for convergence.

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Nell

2 months ago

I'm not entirely sure about the boundaries. Could it be -5 < x < 5? That seems a bit too broad, right?

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Moira

2 months ago

I think we practiced a similar question where we had to find the range of x for convergence. Was it something like -1 < x < 1?

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Daryl

2 months ago

I remember that for a geometric series to converge, the absolute value of the common ratio must be less than 1.

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