Determine the 34th term of the arithmetic sequence 97, 91, 85, . . . .(1 point)
Responses
The common difference in this arithmetic sequence is -6 (since each term is decreasing by 6).
To find the 34th term, we can use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n-1)d
where:
a_n = the nth term
a_1 = the first term
d = the common difference
n = the term number
Plugging in the values:
a_34 = 97 + (34-1)(-6)
a_34 = 97 + 33(-6)
a_34 = 97 - 198
a_34 = -101
Therefore, the 34th term of the sequence is -101.