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Since each term after the first is the product of the preceding term and 2 (a constant which can be found by dividing any term by its predecessor and is called the common ratio, r), this is a geometric sequence.

In general, if the nth term of a geometric sequence is represented by an, then

an = a1rn-1

In our case, a = 3 and r = 2, so the formula for the sequence becomes,

an = 3 x 2n-1

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