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Atheist Forums › Science › Mathematics v
[Euler] Need clarification

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[Euler] Need clarification
shadowdancer Offline
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#1
[Euler] Need clarification
November 21, 2011 at 2:25 pm
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Bertran Offline
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#2
RE: [Euler] Need clarification
November 21, 2011 at 2:59 pm
The problem suggests a finding of a sum of even terms of Fibonacci sequence:

S=2+8+34+... (+all even numbers less than 4000000)

This problem can be easily solved by using a general term formula for Fibonacci sequence and by using a formula for a sum of geometric progression.

By the way. Thank you for the problem. It will be a good task for my students.
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shadowdancer Offline
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#3
RE: [Euler] Need clarification
November 21, 2011 at 3:10 pm
Thanks Bertran,

So the number would be:
0, 2, 8, 34, 144, 610, 2584, 10946, 46368, 196418, 832040, 3524578

and the SUM is: 4613732 ?

Am I correct? (just tell me am I correct or not Smile )
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Bertran Offline
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#4
RE: [Euler] Need clarification
November 21, 2011 at 3:15 pm
This is a cheating. But anyway, your result is correct.
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shadowdancer Offline
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#5
RE: [Euler] Need clarification
November 21, 2011 at 3:17 pm
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Bertran Offline
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#6
RE: [Euler] Need clarification
November 21, 2011 at 3:31 pm
It is very strange. It is interesting to hear another persons and how they did understand this problem.
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Tiberius Offline
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#7
RE: [Euler] Need clarification
November 21, 2011 at 3:58 pm
Make sure there isn't any whitespace (tabs, spaces, etc) surrounding your answer. I can confirm that 4613732 is the correct answer, since I solved that problem years ago.
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Jackalope Offline
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#8
RE: [Euler] Need clarification
November 21, 2011 at 4:49 pm
(November 21, 2011 at 2:59 pm)Bertran Wrote: This problem can be easily solved by using a general term formula for Fibonacci sequence and by using a formula for a sum of geometric progression.

Just out of curiosity, what are the relevant formulae? (Not a student, just a middle-aged guy that's been out of math of a long time)

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Bertran Offline
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#9
RE: [Euler] Need clarification
November 21, 2011 at 5:17 pm (This post was last modified: November 21, 2011 at 5:18 pm by Bertran.)
(November 21, 2011 at 4:49 pm)Cthulhu Dreaming Wrote: Just out of curiosity, what are the relevant formulae? (Not a student, just a middle-aged guy that's been out of math of a long time)
Of course, I'm talking about this formula for F_n.
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Jackalope Offline
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#10
RE: [Euler] Need clarification
November 21, 2011 at 5:28 pm
(November 21, 2011 at 5:17 pm)Bertran Wrote:
(November 21, 2011 at 4:49 pm)Cthulhu Dreaming Wrote: Just out of curiosity, what are the relevant formulae? (Not a student, just a middle-aged guy that's been out of math of a long time)
Of course, I'm talking about this formula for F_n.

Thanks. Interesting, yet (somewhat) incomprehensible, as my math education ended at high-school trigonometry. One of these days, I'll have to figure out that high falutin' math stuff.

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[Euler] Need clarification

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