Convert the Arithmetic Function to a Linear Function:
Rename the variable to x, and change the rate of change to m.
f (n) = f (1) + d (n - 1)
f (x) = f (1) + m (x - 1)
Distribute: f (x) = f (1) + mx - m
Rearrange terms: f (x) = f (1) - m + mx
Notice that f (1) - m is a constant term (a number).
Replace f (1) - m with b.
f (x) = b + mx
And we have: f (x) = mx + b
Since f (x) = y, we can also write y = mx + b.
Arithmetic sequences are linear functions.
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