# 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 n^{th} term of a geometric progression can be expressed as a\(_n\)_{ }= ar^{n-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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