The next 3 terms of the geometric sequence 3, 12, 48, are 192, 768 and 3072.
Using geometric sequence formula:
where
a = first term
r = common ratio
n = number of term
Therefore,
let's find the 4th term .
n = 4
a = 3
r = 12 /3 = 4
a₄ = 3 × 4⁴⁻¹
a₄ = 3 × 4³
a₄ = 3 × 64 = 192
Using the same pattern the next 2 terms are as follows
- 192 × 4 = 768
- 768 × 4 = 3072
Therefore, the next three terms of the sequence 3, 12, 48, ... are 192, 768 and 3072.
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