Determine the 34th term of the arithmetic sequence 97, 91, 85, . . . .(1 point)
Responses
−101
negative 101
−107
negative 107
295
295
−9
The common difference between each term in this sequence is -6. Thus, to find the 34th term, we can use the formula:
a34 = a1 + (n-1)d
a34 = 97 + (34-1)(-6)
a34 = 97 + (33)(-6)
a34 = 97 - 198
a34 = -101
Therefore, the 34th term of the arithmetic sequence 97, 91, 85, ... is -101.
Correct response: −101