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

Create an example of sequence of numbers with an exponential growth pattern, and explain how you know that the growth is exponential.
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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:
$y\left(t\right)=a{e}^{kt}$
$a=$initial value
$t=$time
$k=$rate of growth
$y\left(t\right)=$value at time t