Discuss IFoA IFoA_CAA_M0 Exam Topic 7 Question 102

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

Suggested Answer: B

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21 comments · newest first

Katheryn 2 days ago

True, that would include values where it diverges.

Arthur 7 days ago

What about A) -1 x 1? It seems too broad.

Malika 12 days ago

I remember learning that. If |r| < 1, it converges.

Ocie 17 days ago

I feel confident about that too. It’s a standard result for geometric series.

Florinda 23 days ago

Yeah, I agree. The series converges in that range.

Katheryn 28 days ago

I think the answer is B) -1 < x < 1.

Tawny 1 month ago

C and D are way off. They include values that diverge.

Francoise 1 month ago

I’m leaning towards B too. It’s the standard for geometric series.

Lenny 1 month ago

Definitely B. The series diverges outside that range.

Adelaide 2 months ago

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

Jeannetta 2 months ago

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

Melinda 2 months ago

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

Farrah 2 months ago

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

Heidy 2 months ago

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

Lawana 2 months ago

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

Alison 3 months ago

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

Lorrine 3 months ago

The series converges for -1 < x < 1.

Cecily 3 months ago

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

Nell 3 months ago

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

Moira 3 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?

Daryl 4 months ago

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

IFoA_CAA_M0 Exam - Topic 7 Question 102 Discussion