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Gaokao Math Practice Question

已知数列 $\left\{a_{n}\right\}$ 满足 $3 a_{n+1}+a_{n}=0, a_{2}=-\frac{4}{3}$, 则 $\left\{a_{n}\right\}$ 的前 10 项和等于 ($\qquad$)

  1. A.$-6\left(1-3^{-10}\right)$
  2. B.$\frac{1}{9}\left(1-3^{-10}\right)$
  3. C.$3\left(1-3^{-10}\right)$
  4. D.$3\left(1+3^{-10}\right)$

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