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Answer :
Final answer:
To find the position of the term -76 in the sequence defined by f(n) = -4(n - 1), we set the equation equal to -76. Solving for n, we find that -76 is the 20th term of the sequence.
Explanation:
We are given an explicit rule for a sequence f(n) = −4(n − 1) and we need to find the position of the term −76 in the sequence.
First, let's set the rule equal to −76 and solve for the position n:
−76 = −4(n − 1)
Divide both sides by −4:
19 = n - 1
Now, add 1 to both sides to find n:
n = 19 + 1
n = 20
Therefore, the term −76 is the 20th term in the sequence, so the correct answer is "20th term."
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