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The function f(n) satisfies f(1) = 1 and f(2n + 1) = f(n) + 2 for n >= 0.  Find f(15).

 Jun 3, 2021

Best Answer 

 #1
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The function f(n) satisfies f(1)=1 and f(2n+1)=f(n)+2 for n0.
Find f(15).

 

n=1:f(21+1)=f(1)+2|f(1)=1f(3)=1+2f(3)=3n=3:f(23+1)=f(3)+2|f(3)=3f(7)=3+2f(7)=5n=7:f(27+1)=f(7)+2|f(7)=5f(15)=5+2f(15)=7

 

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 Jun 3, 2021
 #1
avatar+26397 
+2
Best Answer

The function f(n) satisfies f(1)=1 and f(2n+1)=f(n)+2 for n0.
Find f(15).

 

n=1:f(21+1)=f(1)+2|f(1)=1f(3)=1+2f(3)=3n=3:f(23+1)=f(3)+2|f(3)=3f(7)=3+2f(7)=5n=7:f(27+1)=f(7)+2|f(7)=5f(15)=5+2f(15)=7

 

laugh

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