Question

6.6 comparing linear and exponential functions (sequences) quiz

geometric sequences have a constant common ratio.

true
false

Explanation:

Define geometric sequences

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. This fixed multiplier is called the common ratio.

Contrast with arithmetic sequences

Using the Arithmetic Sequences knowledge point, we know that arithmetic sequences progress by adding a constant common difference to each term. In contrast, geometric sequences progress by multiplying by a constant common ratio.

Evaluate the statement

The statement says: "Geometric sequences have a constant common ratio." Since the defining characteristic of a geometric sequence is that the ratio between consecutive terms is constant, this statement is true.

Answer:

• True (Correct answer)
• False