# How to Calculate Geometric Progression?

Short tutorial on how to calculate geometric progression (G.P) explained with a neat example and formula.

## Geometric Progression Formula and Example

In mathematics, **Geometric Progression (GP)** is a sequence of numbers where any element after the first is obtained by multiplying the preceding element by a constant called the common ratio. Here is a simple tutorial which helps you to learn how to calculate Geometric Progression (GP).

The problems on Geometric Sequence (G.P) is solved using the Geometric Progression Formula and example provided below.

Geometric Progression = [a r ^{(n-1)}]

Where,

a - first term in the series

n - number of terms in the series

r - factor between the terms, called the "common ratio"

**Geometric Sequence Problem With Solution**

Step 1: Consider the sequence of numbers

2, 4, 8, 16, 32, 64

Where,

a - 2 (first term in the series)

n - 6 (number of terms in the series)

r - 2 (factor between the terms, called the "common ratio")

Calculate Geometric Progression.

**Step 2:** Substitute the values in formula.

Geometric Progression = [a r ^{(n-1)}]

= [2 * 2 ^{(6-1)}]

= 2 * 2^{5}

= 2 * 32

=64

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