Arithmetic Sequences Quick Check
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Question
Explore the relationship between linear functions and arithmetic sequences to find which linear function represents the arithmetic sequence 60, 50, 40 . . . .(1 point)
Responses
f(n)=−10n+50
f left parenthesis n right parenthesis equals negative 10 n plus 50
f(n)=10n+50
f left parenthesis n right parenthesis equals 10 n plus 50
f(n)=−10n+70
f left parenthesis n right parenthesis equals negative 10 n plus 70
f(n)=10n+70
Correct Response:
f(n) = -10n + 70
f(n) equals negative 10n plus 70
Explanation: The arithmetic sequence 60, 50, 40 has a common difference of -10 between each term. The linear function that represents this arithmetic sequence would have a slope of -10 and an initial value of 70 (since the first term is 60). Thus, the correct linear function is f(n) = -10n + 70.