Trick Of The Day (Alex) - Infinite Sequences

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Trick Of The Day (Alex) - Infinite Sequences

Post by Alex Tatge on Wed Mar 11, 2009 7:21 pm

Ok, it's time for my shot at the trick of the day.

NOTE: This only works on geometric sequences (same multiplication factor throughout)

Infinite sequences... pretty simple really.
The formula goes like this. (first term of the sequence) / (1 - (multiplication factor))

Examples:
1.
3, 1.5, .75 ...
You need to multiply by 1/2 to get the next term, so the formula looks something like this.
3 / (1 - .5)
3 / .5
Answer : 6

I'll show a couple more examples... you can probably figure the multiplication factors out for yourselves.
2.
1, .8, .64 ...
Answer : 5


3.
5, 2, .4 ...
Answer : 25/3


Last edited by Alex Tatge on Wed Mar 11, 2009 8:03 pm; edited 1 time in total
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by HTang on Wed Mar 11, 2009 8:00 pm

You should note that the above formula only works on geometric series. If you get some other type of series (Fibonacci, arithmetic, etc.), you need a different method.
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by Alex Tatge on Wed Mar 11, 2009 8:02 pm

Oh, right, thanks.
By the way, i haven't talked to you in a while havern. How's it going?
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by HTang on Fri Mar 13, 2009 2:14 am

Not bad, I suppose. How are you?
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by Alex Tatge on Fri Mar 13, 2009 9:59 am

Decent, bee doing pretty bad in contest though. Sad
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by Ani on Fri Mar 13, 2009 4:28 pm

While we're on the series topic, can someone please post a way to find the sum of an arithmetic sequence easily?
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by Alex Tatge on Sun Mar 15, 2009 9:20 pm

you mean such as 2 + 4 + 6 .... + 22?
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by Ani on Sun Mar 15, 2009 10:22 pm

Alex Tatge wrote:you mean such as 2 + 4 + 6 .... + 22?

nvm, its in the uber file I'm about to post once Michael tells me how to upload files =(
wait, send me ur email, and I'll mail you the uber trick folder.
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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by Alex Tatge on Mon Mar 16, 2009 1:23 pm

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Re: Trick Of The Day (Alex) - Infinite Sequences

Post by Ani on Mon Mar 16, 2009 8:11 pm

I posted the rapidshare link on the page for the folder, please tell me if it works.
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