A graph shows day labeled 2 to 10 on the horizontal axis and miles on the vertical axis. A line decreases from 1 to 2, increases
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Step-by-step explanation:
We understand that
(a)
(b)
(c)
(d)
Answer:
Detailed explanation:
The formula that defines a geometric series is aₙ = a₁rⁿ⁻¹.
This parallels the exponential series y = a₀rⁿ.
A key distinction is that for geometric series, n must be a positive integer.
Consequently, the graph of a geometric series originates at some point on the y-axis and either escalates quickly or declines steadily toward the x-axis.
In Graph A, the resulting y values are 5/2⁰, 5/2¹, 5/2², and 5/2³, illustrating exponential decay.
In Graph B, the y values progress as 3¹, 3², and 3³, indicating exponential growth.
In Graph C, the y values are 2¹, 2², 2³, and 2⁴, which is also an example of exponential growth.
However, in Graph D, the y values show a steady increase of 1.5, making it an arithmetic series.
might represent a geometric series.