SOLUTION: If the first term of a geometric sequence is 0.9 and it's ratio is 0.8, what is the sum of the first five terms?

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Question 1161642: If the first term of a geometric sequence is 0.9 and it's ratio is 0.8, what is the sum of the first five terms?
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

In General we write a Geometric Sequence like this:
{ , ,, , ... }
where:
is the first term, and
is the factor between the terms (called the "common ratio")
If the first term of a geometric sequence is and it's ratio is, we have


and first five terms are:





their sum is:

or, use sum formula
......substitute given

fifth term->
the sum of the first five terms, will be







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