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Determine the value of  \(2002 + \frac{1}{2} \left( 2001 + \frac{1}{2} \left( 2000 + \dots + \frac{1}{2} \left( 3 + \frac{1}{2} \cdot 2 \right) \right) \dotsb \right).\)
 

 Jun 8, 2019
 #1
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The "closed form" of this sequence can be represented as:

 

n + 1/2(2n - 4) =2002 + 1/2(2*2002 - 4) =2002 + 2000 =4002

 Jun 9, 2019

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