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.
Other useful lessons:
 Understanding sequence and series Evaluating a finite arithmetic series Summation formulae for finite and infinite geometric series
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