, , , , ,
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, .
This is the form of a geometric sequence.
Substitute in the values of and .
Combine and .
Substitute in the value of to find the th term.
Simplify the numerator.
Subtract from .
Raise to the power of .
Simplify the expression.
Multiply by .
Divide by .
Find the 7th Term 7/9 , -7/3 , 7 , -21 , 63 , -189