1958 AHSME Problems/Problem 40

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Problem

Given $a_0 \equal{} 1$ (Error compiling LaTeX. Unknown error_msg), $a_1 \equal{} 3$ (Error compiling LaTeX. Unknown error_msg), and the general relation $a_n^2 \minus{} a_{n \minus{} 1}a_{n \plus{} 1} \equal{} (\minus{}1)^n$ (Error compiling LaTeX. Unknown error_msg) for $n \ge 1$. Then $a_3$ equals:

$\textbf{(A)}\ \frac{13}{27}\qquad \textbf{(B)}\ 33\qquad \textbf{(C)}\ 21\qquad \textbf{(D)}\ 10\qquad \textbf{(E)}\ \minus{}17$ (Error compiling LaTeX. Unknown error_msg)

Solution

$\fbox{}$

See Also

1958 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 39
Followed by
Problem 41
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