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October 29th, 2011, 08:57 AM   #1
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Sequences and Series

Please see attachment.

The majority of the question is answered and so I only need help with the final part; mathcing my 'sum to infinity' answer to what the text book has. Can anyone help me?

Many thanks.
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October 29th, 2011, 10:14 AM   #2
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Re: Sequences and Series

I wouldn't write ; same letter for variable and upperbound. I'll choose k for the variable.
You have:
a = x and r = qx
(note the different outcome; you had instead!)

Now, you are also given: "q and x are both positive fractions less than one" so 0 < qx < 1
Find because the "upperbound" becomes as seen in

since because |qx|<1, you have



Got it?
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October 29th, 2011, 10:22 AM   #3
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Re: Sequences and Series

Thank you.
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