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The function f is defined by f(n) = f(n − 1) + f(n − 2). It is also true that f(1) = 3 and f(3) = 10. What is the value of f(6)

 Jul 10, 2020
 #1
avatar+161 
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It's some problem I came up with and wanted to test people. Answer if you know. I just want to say all of you are smart, and if you don't know, that's okay

 Jul 10, 2020
edited by tigernathan  Jul 10, 2020
 #2
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This can be done by brute force.

 

f(3) = f(2) + f(1)

10 = f(2) + 3

f(2) = 7

 

f(4) = f(3) + f(2)

f(4) = 7 + 10 = 17

 

f(5) = f(4) + f(3)

f(5) = 17 + 10 = 27

 

f(6) = f(5) + f(4) = 27 + 17 = 44.

 Jul 11, 2020
 #5
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Good job :)

tigernathan  Jul 15, 2020
 #3
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Challenge problem: Find the explicit form of f(n).

 Jul 11, 2020
 #4
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Is this possible?????!!

Guest Jul 12, 2020

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