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Answer:
The equations that represent an exponential decay are;
A; [y = (0.1)ˣ]
B; [y = 2·(0.3)ˣ]
Step-by-step explanation:
An exponential decay is given by the following formula;
y = a·bˣ
Where;
b < 1
For option A, we have; [y = (0.1)ˣ]
Here; a = 1, b = 0.1 < 1, therefore, the function represents an exponential decay
For option B, we have; [y = 2·(0.3)ˣ]
Here; a = 2, b = 0.3 < 1, therefore, the function represents an exponential decay
For option C, we have;
Here; a = 1, b = , therefore, the function does not represent an exponential decay
For option D, we have;
Here; a = 1, b = , therefore, the function does not represent an exponential decay
Answer:
Option C.
Step-by-step explanation:
It is given that the first term of the arithmetic sequence is 8 and second term is 5.
We know that the explicit equation of an AP is
, where n is an integer greater than or equal to 1.
where, a is first term and d is common difference.
So, domain of this explicit equation is all integers where n ≥ 1.
Therefore, the correct option is C.