Arithmetic Sequences Quick Check

Question

4 of 54 of 5 Items

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

Answer 1

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.