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A sequence with a1=1 is defined by  the recurrence relation an+1=2nan  for all natural numbers n. If a23=2p, then what is p?

 Aug 26, 2018
 #1
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For a23n=22. We can set up the equation 222×a22=2p. We can see that a22=221×a21. We can keep doing this until we get: 222+21+20...+3+2+1×1=2p, so p=22+21+20...+3+2+1=253

 

- Daisy

 Aug 26, 2018
 #2
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Thanks!

Lightning  Aug 26, 2018

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