What is the factor of sequence 10, 100, 1000, … ?

What type of sequence has terms with common ratio?

 Find 5^th term of sequence 1, 5, 25, ….

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The 10^th term of 10, 30, 90, 270, 810, 2430, .... is 1968.

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In geometric sequence, we can also calculate any term using the Rule:     

$x_n=ar^{n-1}.$  

Complete:

{1,2,4,8,...} is a_______. 

Complete:

Sequence 10, 30, 90, 270, 810, 2430, … has a factor of _______ between each number.

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Sequence  4, 2, 1, 0.5, 0.25, ...has a factor of 0.5.

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Geometric Sequences are sometimes called Geometric Progressions.

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In General we write a Geometric Sequence like this:

{a, ar, ar², ar³, ... }.