Answer
a) -3
b) 162, -486, 1458
Work Step by Step
a) Each number in the sequence is being multiplied by -3. In other words, each number is (-3) times the number before. As a result, the common ratio is -3.
b) To find the next three numbers in the sequence, simply multiply the last known number by -3 and then continue the pattern of multiplying by -3:
-54 x (-3) = 162
162 x (-3) = -486
-486 x (-3) = 1458