The 5th term in a geometric sequence is 140. The 7th term is 35. What are the possible values of the 6th term of the sequence?

Answer 1

To find the common ratio (r) of the geometric sequence, we can take the ratio of the 7th term to the 5th term:

r = 35 / 140
r = 1/4

Now, we can find the 6th term using the common ratio:

6th term = 140 * (1/4)
6th term = 35

Therefore, the possible value for the 6th term of the geometric sequence is 35.