To determine which linear function represents the arithmetic sequence 60, 50, 40..., we first need to identify the common difference between each term in the sequence. In this case, the common difference is -10.
Now, we can use this common difference to create a linear function that represents the arithmetic sequence. The general form of a linear function is F(n) = an + b, where a is the common difference and b is the initial value of the sequence.
Given that the common difference is -10, we can eliminate options A and B since they have a common difference of 10. This leaves us with options C and D.
For option C, F(n) = -10n + 50, we can substitute n = 1 to see if it matches the first term in the sequence:
F(1) = -10(1) + 50 = 40
Since it matches the first term in the sequence, option C is the correct linear function that represents the arithmetic sequence 60, 50, 40....
Explore the relationship between linear functions and arithmetic sequences to find which linear function represents the arithmetic sequence 60, 50, 40....
A. F(n)=-10n+70
B. F(n)=10n+70
C. F(n)=-10n+50
D. F(n)=10n+50
1 answer