Arithmetic Sequences Quick Check

Question

2 of 52 of 5 Items

Question
Determine the 34th term of the arithmetic sequence 97, 91, 85, . . . .(1 point)
Responses

−9
negative 9

295
295

−101
negative 101

−107
negative 107

Answer 1

To determine the 34th term of the arithmetic sequence 97, 91, 85, we need to find the common difference first.

Common difference = second term - first term
Common difference = 91 - 97
Common difference = -6

Now, we can find the 34th term:
34th term = first term + (n-1) * common difference
34th term = 97 + (34-1) * -6
34th term = 97 + 33 * -6
34th term = 97 - 198
34th term = -101

Therefore, the 34th term of the arithmetic sequence 97, 91, 85 is -101.

Correct response: -101 or negative 101