Ask a New Question
Menu

Which equation represents the sequence below?

3, 9, 27, 81, . . . (1 point)
Responses

y=3(13)xy is equal to 3 times 1 third to the x th power

y=3xy is equal to 3 to the x th power

y=(13)xy is equal to 1 third to the x th power

y=3(3)xy is equal to 3 times 3 to the x th power

1 answer

To identify the equation that represents the sequence 3, 9, 27, 81, we first need to analyze the pattern in the sequence.

  1. The first term is 3.
  2. The second term (9) is \(3 \times 3\) or \(3^2\).
  3. The third term (27) is \(3 \times 3 \times 3\) or \(3^3\).
  4. The fourth term (81) is \(3 \times 3 \times 3 \times 3\) or \(3^4\).

This shows that the general term of the sequence can be expressed as \(3^x\) where \(x\) starts from 1 for the first term.

Therefore, the correct equation that represents this sequence is:

y = 3^x

The correct response from the options given is:

y = 3^x (xy is equal to 3 to the x th power)