Answer:
C. f(n) = 8n − 359
Explanation:
The given arithmetic sequence has first term -351, and common difference (-343 -(-351)) = 8. The common difference will be the multiplier of n in the explicit function.
__
You can identify the appropriate explicit function by finding the one that correctly describes the sequence. Evaluating each for n=1 is sufficient. (You will note that choices B and D have the wrong sign on the multiplier of n.)
A f(1) = 8 -351 = -343
B f(1) = -8 -351 = -359
C f(1) = 8 -359 = -351 . . . . correctly gives the first term
D f(1) = -8 +359 = 351
The sequence is defined by the explicit function ...
f(n) = 8n -359