6
QuizMultiple Choice

Arithmetic Sequences — Quiz

Question 6 • Algebra II

What is the explicit formula for the arithmetic sequence in the given table? n 1 2 3 4 5 A sub n 9 point 2 7 point 4 5 point 6 3 point 8 2

Answer
A
A sub n is equal to 9 point 2 plus negative 1 point 8 times open paren 1 minus n close paren
B
A sub n is equal to 1 plus 1 point 8 times open paren n minus 1 close paren
C
A sub n is equal to 2 plus 1 point 8 times open paren 1 minus n close paren
D
A sub n is equal to 9 point 2 plus negative 1 point 8 times open paren n minus 1 close paren

Explanation

Each term decreases by 1.8: for example, 7.4 − 9.2 = −1.8. The explicit formula is the first term plus the common difference times n − 1, so Aₙ = 9.2 + (−1.8)(n − 1). This is choice D, the formula that starts at 9.2 and decreases by 1.8 for each step.

AI-written and checked against the verified answer.

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