Answer:
C
Step-by-step explanation:
A models an exponentially increasing function.
B models an exponentially decreasing function.
C models a "bell" curve, similar to the one shown.
D models a "logistic" function, an s-shaped curve that smoothly transitions between two horizontal asymptotes.
1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule: Recursive rule:
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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule: Recursive rule:
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3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule: Recursive rule: