Question

When is a sequence geometric?

A. when each term is multiplied by the same number to get the next term
B. when there is a common difference between terms
C. when the sequence increases or decreases in a linear pattern
D. when the ratios between consecutive terms are reciprocals

Answer 1

The answer is A. Geometric means multiply & you have to multiply by the same number for it to be a sequence

Answer 2

Answer: The answer is (A) when each term is multiplied by the same number to get the next term.

Step-by-step explanation: We are given four types of sequences out of which we are to select the geometric sequence.

A geometric sequence, is a sequence of numbers where each term after the first term is found by multiplying the previous one by a fixed, non-zero number, which is called the common ratio.

For example, the sequence 3, 6, 12, 24, ... is a geometric progression with first term 3 and common ratio 2.

Thus, the correct option is (A).