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5.5.1 Finding the Nth Term of a Geometric Progression
Instructions: Use the following tutorial to help
introduce or reinforce the concept of Finding the Nth Term of a Geometric Progression.
Read through the introduction, then study and familiarize
yourself with the definitions of terms. Next, use
the incremental calculator to study each step of
the process of Finding the Nth Term of a Geometric Progression.
Finally,
use the calculator for examples to quiz yourself.
An geometric progression is a
sequence or pattern of numbers in which each term is
calculated by multiplying r to
the previous number. The
nth term of a geometric progression is
obtained by using first term a
and the common ratio r
in this equation:
an= arn-1
An example of this problem is to take the
sequence 2,4,8,16... and finding the 10th
term. a= 2, n= 10, and r= 2. an=2*2(10-1)= 1024.
Thus the 10th term is 1024.
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