A population is growing at a rate of 2, 4, 8, 16, 32. Which type of growth does this describe?
A sequence that has the same proportional value as its previous term is called a Geometric sequence.
Answer: The type of growth rate described in 2, 4, 8, 16, 32 is geometric (exponential) growth.
Let's find the type of growth.
Explanation:
When the rate of change is proportional to the quantity changed, such growth is defined as exponential growth or geometric growth.
The value of exponential growth functions is a geometric progression.
An nth term of a geometric progression can be expressed as a\(_n\) = arn-1, where r is the common ratio.
Thus, the type of growth rate described in 2, 4, 8, 16, 32 is geometric (exponential) growth.
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