# Find the explicit formula for the following sequence 3, 6, 12, 24, 48, . .

Find the explicit formula for the following sequence 3, 6, 12, 24, 48, . .
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Triston Donaldson
3,6,12,24,48,... is a geometric sequence with 3 as first term and subsequent terms being multiplied by 2. In a geometric sequence with a as first term and subsequent terms being multiplied by r, ${n}^{th}$ term is given by
$a\cdot {r}^{n-1}$ and hence ${n}^{th}$ term of the geometric sequence is given by
$3\cdot {2}^{n-1}$