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Ratio test

an=32n+19nna_n=\dfrac{3^{2n+1}}{9^n\sqrt{n}}
limnan+1an=\displaystyle\lim_{n\to\infty}\left|\, \frac{{{a}_{n+1}}}{{{a}_{n}}} \,\right|=
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
Based on your answer, what does the ratio test say about S=n=1anS=\displaystyle\sum_{n=1}^{\infty}a_n?
Choose 1 answer:
Choose 1 answer: