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1958 AMC 12 Question 40

AMC12 · 1958 AMC 12

Question 40

Given $a_0=1,$ $a_1=3,$ and the general relation $a_n^2-a_{n-1}a_{n+1}=(-1)^n$ for $n\ge1.$ Then $a_3$ equals:
  1. $\dfrac{13}{27}$
  2. $33$
  3. $21$
  4. $10$
  5. $-17$