To find the first term (a1) and the common difference (d) of an arithmetic sequence represented by the linear function f(n) = -8n + 19, we need to look at the formula for an arithmetic sequence.
The formula for the nth term of an arithmetic sequence is:
an = a1 + (n-1)d
In this case, the formula given is f(n) = -8n + 19, so we can equate it to the formula for the nth term and solve for a1 and d.
-8n+19 = a1 + (n-1)d
Comparing this equation with the general formula, a1 = 19 and d = -8.
Therefore, the first term a1 is 19 and the common difference d is -8.
Arithmetic Sequences Practice
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Question
An arithmetic sequence is represented by the linear function f(n)=−8n+19 . Find the first term, a1 , and the common difference, d , of the sequence.(1 point)
a1=
d=
1 answer
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