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November 01, 2025, 08:00:00 pm

Author Topic: Infinite Geometric Series  (Read 1365 times)  Share 

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squance

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Infinite Geometric Series
« on: January 20, 2009, 08:54:17 pm »
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My sister can't seem to solve this question from the essential maths textbook and I have no idea as well because I have never seen any of this stuff before...

This is from Exercise 1E question 6.

The first, second and third terms of a geometric sequence are x + 5, x and x + 4 respectively. Find:

a). x
b). the common ratio
c). the difference between the sum to infinity and the sum of the first ten terms

The answers:
a).20
b).4/5
c). 4^10 /5^7


Some help will be muchly appreciated :)



Flaming_Arrow

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Re: Infinite Geometric Series
« Reply #1 on: January 20, 2009, 09:41:00 pm »
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geometric sequences isn't is the syllabus so your just wasting you time.
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squance

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Re: Infinite Geometric Series
« Reply #2 on: January 20, 2009, 09:43:55 pm »
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Ok then. I will tell my sis that. Thanks for the info.

Mao

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Re: Infinite Geometric Series
« Reply #3 on: January 20, 2009, 10:07:42 pm »
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are you sure its x+5 --> x --> x+4 ? it doesn't look too right.
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squance

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Re: Infinite Geometric Series
« Reply #4 on: January 20, 2009, 10:12:25 pm »
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are you sure its x+5 --> x --> x+4 ? it doesn't look too right.

I copied it from the Specialist Maths Essential Maths Book.
I wouldn't have a clue if it was a printing error or not because I have never seen one of these questions before in my whole life.

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Re: Infinite Geometric Series
« Reply #5 on: January 20, 2009, 10:19:56 pm »
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The third term is x-4, not that it matters

squance

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Re: Infinite Geometric Series
« Reply #6 on: January 20, 2009, 10:23:47 pm »
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The third term is x-4, not that it matters

Oh shit!
It is x-4.
I just had a third look at that textbook.
Oppsies :( Im sorry.

So yeah. The terms are x+5, x and x-4.
(I think I need my eyes checked..)

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Re: Infinite Geometric Series
« Reply #7 on: January 20, 2009, 10:40:50 pm »
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much better. Here's for the interested:

a)

b)

c)

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squance

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Re: Infinite Geometric Series
« Reply #8 on: January 20, 2009, 10:46:48 pm »
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Thank you very much :D
Um, not sure if my eyes are failing on me again, but I don't see the solution to part b of this question