1958 AHSME Problems/Problem 40

Revision as of 06:27, 3 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Given <math> a_0 \equal{} 1</math>, <math> a_1 \equal{} 3</math>, and the general relation <math> a_n^2 \minus{} a_{n \minus{} 1}a_{n \plus{} 1} \equal{} (\minus{}1...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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
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 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png