Term of a Geometric Sequence The term of a geometric sequence is given. (a) Find the first five terms of the sequence. (b) What is the common ratio ? (c) Graph the terms you found in (a).
The first five terms of the sequence for .
The term of the sequence is .
A geometric sequence is a sequence of the form:
, , ,…
The number is the first term, and is the common ratio of the sequence.
The term of the a geometric sequence is given as,
Suppose first term is , second term is , third term is , fourth term is , and fifth term is .
The term is given as,
Substitute for in equation , to calculate the first term:
Substitute for in equation , to calculate the second term:
Substitute for in equation , to calculate the third term:
The common ratio of the sequence.
The terms of part (a).
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