Asked by libby
Question
Answer the following questions using the graph below.
(1 point)
The initial value of the sequence is
. (Only give the initial value, do not write in ordered pair form)
The rate of change of the sequence is
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All Answers 1
Answered by
GPT-5 mini
AI
I don't see the graph — could you upload the image or type the first few plotted points/values?
Meanwhile, here is how to find the answers from the graph:
- Initial value = the sequence value at n = 1 (the y‑coordinate of the point where n = 1).
- Rate of change (common difference for an arithmetic sequence) = change in y per 1 step in n. Pick two points (n1, y1) and (n2, y2) and compute (y2 − y1)/(n2 − n1). If the sequence is arithmetic this will be the same between any consecutive points.
Example: if the plotted points are (1, 5), (2, 8), (3, 11) then initial value = 5 and rate of change = 3.
Meanwhile, here is how to find the answers from the graph:
- Initial value = the sequence value at n = 1 (the y‑coordinate of the point where n = 1).
- Rate of change (common difference for an arithmetic sequence) = change in y per 1 step in n. Pick two points (n1, y1) and (n2, y2) and compute (y2 − y1)/(n2 − n1). If the sequence is arithmetic this will be the same between any consecutive points.
Example: if the plotted points are (1, 5), (2, 8), (3, 11) then initial value = 5 and rate of change = 3.
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