The common ratio of the geometric sequence whose first term 3 and third term 108 is ±6.
What is Geometric Sequence?
A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Here, first term a = 3 ......(i)
third term a₃ = ar² = 108 .......(ii)
On dividing equation (ii) from equation (i), we get
[tex]\frac{ar^{2} }{a} = \frac{108}{3}[/tex]
r² = 36
r = ±6
Thus, the common ratio of the geometric sequence whose first term 3 and third term 108 is ±6.
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