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Defining Geometric Sequences

Complete:

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

Is the sentence true or false?

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

What is the factor of sequence 1, 5, 25, … ?


Is the sentence true or false?

Geometric Sequences are sometimes called Geometric Progressions.

Is the sentence true or false?

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

Is the sentence true or false?

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

xn=arn1.x_n=ar^{n-1}.  

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

Is the sentence true or false?

In General we write a Geometric Sequence like this:

{a, ar, ar2, ar3, ... }.


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


Complete:

{1,2,4,8,...} is a_______.