The common ratio of the geometric sequence is 3 / 4
How to find common ratio?
The common ratio of a geometric sequence can be found as follows:
a(n) = arⁿ⁻¹
Therefore,
- a = first term
- n = number of terms
- r = common ratio
Therefore,
16 = ar¹⁻¹
16 = a
Hence,
12 = 16r²⁻¹
12 = 16r
r = 12 / 16
r = 6 / 8
r = 3 / 4
Therefore, the common ratio is r = 3 / 4
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