Geometric sequence By: carson votava

What it is

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

ex: 2, 4, 8, 16, 32, 64, 128, 256

This sequence has a factor of 2 between each number.

Each term (except the first term) is found by multiplying the previous term by 2.

Rule/equation

The rule for the geometric sequence is an=a1 (times) r (n-1)

n is the term you are trying to find

A1 is the first term

R is the common ratio

Example: 10, 30, 90, 270, 810, 2430.....

The value of A is 10 (the first term)

The value of 1 is 3 (the common ratio)

An= 10 (times) 3 (n-1)

A4 = 10×3(4-1) =

10×33 =

10×27 =

270

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