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Re: guide to series and sequences... arithmetic and geometric [#permalink]
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

guide to series and sequences... arithmetic and geometric [#permalink]
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.

Re: guide to series and sequences... arithmetic and geometric [#permalink]
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:

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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