, , ,
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 .
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Combine the opposite terms in .
Subtract from .
Add and .
Identify the Sequence 2 , 4 , 8 , 16