Answer: f (x) = 0.75 minus 0.25x
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a1 = 0.5
d = 0.25 - 0.5 = - 0.25
n = 25
The rule for the sequence is
an = 0.5 + (n - 1)-0.25
an = 0.5 - 0.25n + 0.25
an = 0.5 + 0.25 - 0.25n
an = 0.75 - 0.25n
Substituting f(x) for an and x for n, it becomes
f(x) = 0.75 - 0.25x
