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To obtain the sequence 1, 1/3, 1/9, 1/27,..., what domain should be applied to the exponential function shown here?

A) (0, ∞)
B) [0, ∞)
C) {1, 2, 3, ...}
D) {0, 1, 2, 3, ...}

To obtain the sequence 1, 1/3, 1/9, 1/27,..., what domain should be applied to the-example-1
User Jet Blue
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Consider the exponential function


y=\left((1)/(3)\right)^x.

  • At x=0,
    y=\left((1)/(3)\right)^0=1;
  • At x=1,
    y=\left((1)/(3)\right)^1=(1)/(3);
  • At x=2,
    y=\left((1)/(3)\right)^2=(1)/(9);
  • At x=3,
    y=\left((1)/(3)\right)^3=(1)/(27);
  • and so on.

Thus, the domain is {0, 1, 2, 3, ...}

Answer: option D.

User Antfish
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