A(n) = -5 + 6(n - 1)a(n)=−5+6(n−1) what is the 12th term in this sequence
2 answers:
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Answer:
Step-by-step explanation:
Since the line passes through the origin, it must be a proportional/direct variation equation.
Direct variation equations have the form:
Where a is the constant of proportionality.
Let’s solve for a. We know that when x=5, y=40. So:
Divide both sides by 5:
Therefore, our equation is:
We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:
Divide both sides by 8:
Hence, the value of k is -3.