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Logical mathematical reasoning/Razonamiento lógico matemático. x8

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[MAF]mooman:
A: (1+1/2) * (1+1/3) * (1+1/4) ... (1+1/109)  = (2/2+1/2) * (3/3+1/3) * (4/4+1/4) ... (109/109+1/109) =
(3/2) * (4/3) * (5/4) ... (110/109) = (110!/2!)/109!= 110!/(109!*2!) = 110/2 = 55
B: (1-1/2) * (1-1/3) * (1-1/4) ... (1-1/99) = (2/2-1/2) * (3/3-1/3) * (4/4-1/4) ... (109/109-1/109) =
(1/2) * (2/3) * (3/4) ... (108/109) = 108!/109! = 1/109

AdrenalineXV:

--- Quote from: [MAF]mooman on April 08, 2015, 10:27:11 pm ---A: (1+1/2) * (1+1/3) * (1+1/4) ... (1+1/109)  = (2/2+1/2) * (3/3+1/3) * (4/4+1/4) ... (109/109+1/109) =
(3/2) * (4/3) * (5/4) ... (110/109) = (110!/2!)/109!= 110!/(109!*2!) = 110/2 = 55
B: (1-1/2) * (1-1/3) * (1-1/4) ... (1-1/99) = (2/2-1/2) * (3/3-1/3) * (4/4-1/4) ... (109/109-1/109) =
(1/2) * (2/3) * (3/4) ... (108/109) = 108!/109! = 1/109

--- End quote ---
I do not understand this: (110!/2!)/109!= 110!/(109!*2!) = 110/2 = 55
Look at this I have found:

[MAF]mooman:
http://en.wikipedia.org/wiki/Factorial

[MAF]Vertigo:
Why don't you make a thread called "Help me with my maths homework" and just post all your questions there instead of making 100 threads lol.

musicloveR:

--- Quote from: [MAF]Vertigo on April 09, 2015, 12:59:46 am ---Why don't you make a thread called "Help me with my maths homework" and just post all your questions there instead of making 100 threads lol.

--- End quote ---

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