Since there is a common ratio between each term so this is a geometric sequence.
A unique kind of sequence is a geometric sequence. Every term in the series (aside from the first term) is multiplied by a fixed amount to determine the following term. In other words, we multiply the current phrase in the geometric sequence by a constant term (called the common ratio), and then divide the current term in the geometric sequence by the same common ratio to discover the previous term in the geometric sequence.
Every term in a geometric series is obtained by multiplying the term before it by the same number. [tex]a_{n}=a_{1} r^{n-1}[/tex] is the general phrase for it. The common ratio is denoted by the number r. Any term in the sequence can be used to find it by dividing it by the word before it.
In 72 36 and 18 if we multiply the previous term by [tex]\frac{1}{2}[/tex] we will get the next term. So r=[tex]\frac{1}{2}[/tex] and hence there is a common ratio so the given sequence is geometric sequence.
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