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guide to series and sequences... arithmetic and geometric

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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 24 Mar 2011, 21:43
Superb post!!!+1 to u...
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 08 Apr 2011, 14:54
Seeing this very late, yet u still deserves a Kudos. Great job !!!
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 10 Apr 2011, 02:03
. Thanks, it is nice and precise
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 15 Jan 2012, 05:57
perfect explanations benjiboo.kudos
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 28 Jun 2013, 06:31
would like to add one more Formula to the list above from one of the replies from Bunuel.

For geometric progression with common ratio |r|<1, the sum of the progression is sum=\frac{b}{1-r}, where b is the first term.

reference: a-square-is-drawn-by-joining-the-midpoints-of-the-sides-of-a-102880.html
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 28 Nov 2013, 04:23
Thank you a lot for this guide!
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 31 Jul 2014, 07:19
Kudos many years after the original post. :)
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 05 Dec 2014, 08:51
GMATnickname wrote:
Great post... To follow up on the extension into consecutive integers that Sayysong initiated above: I would invite you to think about the Data Sufficiency problem below. If you know how to solve this problem, then you know how to extract the maximum information possible out of the fact that you are dealing with consecutive numbers.

x is an integer; Is x^3-x divisible by 24?
(1) x is even
(2) x is odd

The answer is (B). I am happy to explain.
Enjoy!


The statement (2) is not sufficient when x=1.
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guide to series and sequences... arithmetic and geometric [#permalink] New post 09 Mar 2015, 14:48
Hi - can you please advise what is the formula for an arithmetic sequence in which each term after the first is equal to the sum of the preceding term? In other words, a sequence in which we are not adding fixed amount to get the next term.
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Re: guide to series and sequences... arithmetic and geometric [#permalink] New post 09 Mar 2015, 21:29
Expert's post
Hi mawus,

You're actually describing 2 DIFFERENT sequences. By definition, an arithmetic sequence is one that involves a CONSTANT.....constantly adding (or subtracting) a number throughout a sequence. Here are some examples:

1, 2, 3, 4, 5.....
2, 4, 6, 8, 10....
-3, 0, 3, 6, 9....
0, 1/2, 1, 3/2, 2, 5/2, 3.....

Sequences that are based on prior terms (without a constant) can come in a variety of 'forms.' For example, the classic Fibonacci sequence adds the prior 2 terms to get the 'next' term:

1, 1, 2, 3, 5, 8, 13, 21

1+1 = 2
1+2 = 3
2+3 = 5
3+5 = 8
Etc.

GMAT sequence questions are relatively rare (you'll likely see just 1 that has "sequence notation"), but they DO typically involve a 'formula' of some kind. Do you have a specific example in mind that you'd like to discuss?

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Re: guide to series and sequences... arithmetic and geometric   [#permalink] 09 Mar 2015, 21:29

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