determine the 34th term of the arithmetic sequence 97, 91,85

Answer 1

To find the 34th term of an arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

where:
a_n is the nth term
a_1 is the first term
d is the common difference
n is the term number

In this case, the first term (a_1) is 97, the common difference (d) is -6 (because we are subtracting 6 to get to the next term), and we want to find the 34th term (n = 34).

Plugging these values into the formula, we get:

a_34 = 97 + (34-1)(-6)
a_34 = 97 + 33(-6)
a_34 = 97 + (-198)
a_34 = -101

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