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
T_{r} = ar^{(n1)}.
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)^{(91)}= 1(4)^{8}=
65536.
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