What is the 83rd term of the arithmetic sequence an= -22, -18, -14,....?
2 answers:
We can figure this out using the explicit formula.
n represents the term we are looking for, which in this case, is 83.
f(1) represents the first term in the sequence, which in this case, is -22.
d represents the common difference, which in this case, is +4.
f(n) = -22 + 4(n-1)
f(n) -22 + 4n - 4
f(n) = -26 + 4n
Now, we can plug in 83 for n.
f(83) = -26 + 4(83)
f(83) = -26 + 332
f(83) = 306
The answer is C, 306.
n represents the term we are looking for, which in this case, is 83.
f(1) represents the first term in the sequence, which in this case, is -22.
d represents the common difference, which in this case, is +4.
f(n) = -22 + 4(n-1)
f(n) -22 + 4n - 4
f(n) = -26 + 4n
Now, we can plug in 83 for n.
f(83) = -26 + 4(83)
f(83) = -26 + 332
f(83) = 306
The answer is C, 306.
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Answer:
Step-by-step explanation:
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