Arithmetic Sequences — Quiz

Question 5 • Algebra II

Which of the following is an arithmetic sequence?

Answer

Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, '3'; Column 3, '6'; Column 4, '9'; Column 5, '15'

Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, '2'; Column 3, 'negative 2'; Column 4, 'negative 6'; Column 5, 'negative 10'

Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, 'negative 1'; Column 3, '3'; Column 4, 'negative 3'; Column 5, 'negative 1'

Table with 5 columns and 2 rows.Row 1: Column 1, 'n'; Column 2, '1'; Column 3, '2'; Column 4, '3'; Column 5, '4' Row 2: Column 1, 'A sub n'; Column 2, '4'; Column 3, '14'; Column 4, '24'; Column 5, '32'

Explanation

An arithmetic sequence has the same difference between each pair of consecutive terms. In choice B, the terms are 2, −2, −6, and −10; each term decreases by 4, so the common difference is −4. The other choices do not have a constant difference.

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