Question

What is the 83rd term of the arithmetic sequence an= -22, -18, -14,....?

Answer 1

We can figure this out using the explicit formula.

$f(n)=f(1)+d(n-1)$

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.

Answer 2

Answer:

C: 306

Step-by-step explanation: