What is the seventh term of the geometric sequence with a first term of 729 and a common ratio of ?

Given:

Given that the first term of the geometric sequence is 729.

The common ratio is

We need to determine the seventh term of the sequence.

Seventh term:

The seventh term of the sequence can be determined using the formula,

To find the seventh term, let us substitute n = 7 in the above formula, we get;

Now, substituting and , we get;

Thus, the seventh term of the geometric sequence is 1.