Algebra II: Finite Geometric Series
This is a free lesson from our course in Algebra II
 
   
This lesson explains how to identify term of a finite geometric series. You can proceed using the concept of geometric sequence covered earlier, which is also known as Geometric Progression (G.P.).
A sequence of numbers is said to be geometric if any number after the first can be obtained by multiplying the previous one by the same constant. This constant is called the common ratio. So the sequence 1,2,4,8,16 is geometric since each number in the sequence after the first can be obtained by multiplying the previous term by 2. Here the common ratio is 2. Generally G.P. is denoted by
       Tr = ar(n-1).
where a is the first term and r is the common ratio. For example, the 9th term of G. P. 1, 4, 16, 64, ...= 1(4)(9-1)= 1(4)8= 65536.
<h2> Finite geometric series - Watch video (Algebra II)</h2> <p>Meta, Keywords, Finite geometric series, Finite, geometric series.</p> <p> Meta, Keywords, Finite geometric series, Finite, geometric series</p>
Other useful lessons:
Understanding sequence and series
Evaluating a finite arithmetic series
Summation formulae for finite and infinite geometric series
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