Question

Which of the following graphs could be a representation of a geometric sequence? Check all that apply

Answer 1

Answer:

the other person is right, the answers are A, B, and C

Step-by-step explanation:

Answer 2

Answer:

$\boxed{\text{A, B, and C}}$

Step-by-step explanation:

The formula for a geometric series is aₙ = a₁rⁿ⁻¹.

This is analogous to the exponential series y = a₀rⁿ.

The difference it that, in a geometric series, n must be positive.

Thus, the graph of a geometric series starts somewhere on the y-axis and either increases exponentially or decreases asymptotically to the x axis.

In Graph A , the successive values of y are 5/2⁰, 5/2¹, 5/2² and 5/2³. This is an example of exponential decay.

In Graph B, the successive values of y are 3¹, 3² and 3³. This is an example of exponential growth.

In Graph C, the successive values of y are 2¹, 2², 2³, and 2⁴, another example of exponential growth.

In Graph D, the successive values of y are 1, 2.5, 4, 5.5. and 7. There is a constant difference of 1,5, so this represents an arithmetic series.

$\boxed{\textbf{A, B, and C}}$ could represent a geometric series.