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Difference between revisions of "1970 AHSME Problems/Problem 16"

(Created page with "== Problem == If <math>F(n)</math> is a function such that <math>F(1)=F(2)=F(3)=1</math>, and such that <math>F(n+1)= \frac{F(n)\cdot F(n-1)+1}{F(n-2)}</math> for <math>n\ge 3,<...")
 
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== See also ==
 
== See also ==
{{AHSME box|year=1970|num-b=15|num-a=17}}   
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{{AHSME 35p box|year=1970|num-b=15|num-a=17}}   
  
 
[[Category: Introductory Algebra Problems]]
 
[[Category: Introductory Algebra Problems]]
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 14:40, 2 October 2014

Problem

If $F(n)$ is a function such that $F(1)=F(2)=F(3)=1$, and such that $F(n+1)= \frac{F(n)\cdot F(n-1)+1}{F(n-2)}$ for $n\ge 3,$ then $F(6)=$

$\text{(A) } 2\quad \text{(B) } 3\quad \text{(C) } 7\quad \text{(D) } 11\quad \text{(E) } 26$

Solution

$\fbox{C}$

See also

1970 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 15
Followed by
Problem 17
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
All AHSME Problems and Solutions

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