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Complete:
Sequence 10, 30, 90, 270, 810, 2430, … has a factor of _______ between each number.
4
5
3
Is the sentence true or false?
The 10th term of 10, 30, 90, 270, 810, 2430, .... is 1968.
True
False
What is the factor of sequence 1, 5, 25, … ?
10
25
Geometric Sequences are sometimes called Geometric Progressions.
Sequence 4, 2, 1, 0.5, 0.25, ...has a factor of 0.5.
In geometric sequence, we can also calculate any term using the Rule:
xn=arn−1.x_n=ar^{n-1}.xn=arn−1.
Flase
What is the factor of sequence 10, 100, 1000, … ?
12
14
In General we write a Geometric Sequence like this:
{a, ar, ar2, ar3, ... }.
Find 5th term of sequence 1, 5, 25, ….
40
625
375
Geometric Sequence
Series
Arithmetic sequence
It is done.