ARITHMETIC SEQUENCES HELP. (QUESTIONS ATTACHED)
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The given table is an example of constant exponential decay.
It is given that
X Y
-4 16
-1 2
2 0.25
4 0.0625
5 0.03125
<h3>What is an exponential function?</h3>An exponential function is a relation of the form y = a^x, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
The y-value at -4 is 16 while the y-value at -1 is 2, a decrement of 1/8 times for an increment in x-value by 3
Again, the y-value at 2 is 0.25 while the y-value at 5 is 0.03125, a decrement of 1/8 times for an increment in x-value by 3.
In both cases, the rate of decrement is constant.
So we can say that this is an example of constant exponential decay.
We can also see this behavior from the attached graph.
Therefore, the given table is an example of constant exponential decay.
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