Form a geometric sequence of 5 terms whose ratio is 3 and the first term is - 2

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the "common ratio." Given that the first term $$((a_1\)) is -2 $$and the common ratio $$(\(r\)) is 3, $$we can find the first five terms of the sequence: $$1. \(a_1 = -2\)$$ $$2. \(a_2 = a_1 \cdot r = -2 \cdot 3 = -6\)$$ $$3. \(a_3 = a_2 \cdot r = -6 \cdot 3 = -18\)$$ $$4. \(a_4 = a_3 \cdot r = -18 \cdot 3 = -54\)$$ $$5. \(a_5 = a_4 \cdot r = -54 \cdot 3 = -162\)$$ So, the geometric sequence with a common ratio of 3 and the first term of -2 is: $$-2, -6, -18, -54, -162$$