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Geometric Sequences

Question 2 • AZ-Common Core Algebra II B

Which statements describe characteristics of a geometric sequence? Check all that apply.

Answer
A
There is a common difference between terms
B
Each term is multiplied by the same number to arrive at the next term.
C
The sequence increases or decreases in a linear pattern
D
There is a common ratio between terms.

Explanation

In a geometric sequence, each term is found by multiplying the previous term by the same number. That constant multiplier is called the common ratio, so both “each term is multiplied by the same number” and “there is a common ratio” describe geometric sequences. A common difference and a linear pattern describe arithmetic sequences instead.

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