SOLUTION: What is the value of (1+1/2)(1+1/3)(1+1/4)...(1+1/2011)? choose the answer and explain the reason to choose your response
1005
2011
1006
2012
Algebra.Com
Question 503481: What is the value of (1+1/2)(1+1/3)(1+1/4)...(1+1/2011)? choose the answer and explain the reason to choose your response
1005
2011
1006
2012
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
(1 + \frac{1}{3})...(1 + \frac{1}{2011}) = (\frac{3}{2})(\frac{4}{3})...(\frac{2012}{2011}) = \frac{2012}{2} = 1006)
The expression basically telescopes.
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