Final answer:
Option B (1, 4, 9, 16) is the pattern that is geometric, as it represents the squares of consecutive natural numbers, thus forming a geometric progression.
Step-by-step explanation:
The question asks which pattern is geometric. Among the options given, option B exhibits a geometric pattern. This is because the numbers in option B (1, 4, 9, 16) represent the squares of the natural numbers 1, 2, 3, and 4, respectively. Each term is the result of squaring the integers in consecutive order, which is a geometric progression with a common ratio of the square of the next integer.
Option A (16, -12, 9, -6.75) does not represent a consistent geometric relationship. Option C (6, 18, 30, 42) is an arithmetic sequence with a common difference of 12. Option D (1/2, 2/3, 3/4, 4/5) shows a pattern of fractions increasing both in the numerator and denominator, but not in a geometric sequence with a constant ratio.