, , , ,

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by gives the next term. In other words, .

Geometric Sequence:

This is the form of a geometric sequence.

Substitute in the values of and .

Apply the product rule to .

Apply the product rule to .

Combine and .

Rewrite as .

Multiply by .

Multiply and .

Identify the Sequence 2/5 , -4/15 , 8/45 , -16/135 , 32/405