The common ratio of the given geometric sequence is \(\frac{1}{2}\).
What is geometric sequence and common ratio?
A geometric sequence is a sequence of numbers where each term after the first term is found by multiplying the previous one by a fixed non-zero number, called the common ratio.
Formula for finding the common ratio
\(r = \frac{a_{n} }{{a_{n-1} } }\)
Where,
r is the common ratio
\(a_{n}\) and \(a_{n-1}\) are the nth and (n-1)th term of the geometric sequence.
According to the given question.
We have a geometric sequence 256, 128, 64, 32..
The first term of the given geometric sequence, \(a_{1} = 256\)
The second term of the geometric sequence, \(a_{2}= 128\)
Therefore,
The common ratio of the given geometric sequence = \(\frac{128}{256} =\frac{1}{2}\)
Hence, the common ratio of the given geometric sequence is \(\frac{1}{2}\).
Find out more information about common ratio geometric sequence here:
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