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- Thread starter dwsmith
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- Thread starter
- #1

- Feb 29, 2012

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- Feb 5, 2012

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Hi dwsmith,Is it true that geometric progressions are \leq arithmetic?

Can you please clarify your question a bit more. Do you mean the inequality of arithmetic and geometric means ?

Kind Regards,

Sudharaka.

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- #4

- Feb 5, 2012

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So your question seems to be whether the sum of any arithmetic progression is greater than or equal to the sum of any geometric progression. That is not the case. For example, \(1,\,3,\,5\) is an arithmetic progression and \(2,\,4,\,8\) is a geometric progression. But, \(1+3+5=9\mbox{ and }2+4+8=14\)I am wondering if GP $\leq$ AP

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