Question

Create an example of sequence of numbers with an exponential growth pattern, and explain how you know that the growth is exponential.

Exponential growth and decay
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asked 2021-03-06
Create an example of sequence of numbers with an exponential growth pattern, and explain how you know that the growth is exponential.

Answers (1)

2021-03-07

In the exponential patterns, the successive numbers increase or decreases by the same percent.
Exponential growth patterns: A sequence of numbers has an exponential pattern when each successive number increase by the same percentage.
There is one simple example of a sequence of an exponential growth:
The population of a dogs doubled every year and the sequence is given as:
2, 4, 8, 16, 32, 64, 128, 256 etc.
In the exponential function, over the time t values of function increase very fast.
Now, the formula for exponential growth function is:
\(y(t)=ae^{kt}\)
\(a=\)initial value
\(t=\)time
\(k=\)rate of growth
\(y(t)=\)value at time t

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