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+70
f left parenthesis n right parenthesis equals negative 10 n plus 70

f(n)=10n+70
f left parenthesis n right parenthesis equals 10 n plus 70

f(n)=10n+50

1 answer

The arithmetic sequence 60, 50, 40... has a common difference of -10. This means that each term decreases by 10.

Looking at the linear functions provided:
1. f(n) = -10n + 50
2. f(n) = -10n + 70
3. f(n) = 10n + 70
4. f(n) = 10n + 50

The linear function that represents the arithmetic sequence 60, 50, 40... is f(n) = -10n + 70. This is because it decreases by 10 each time and starts at 70, which corresponds to the initial term of 60 in the sequence.