# Find the 9th Term 2 , 8 , 32 , 128 , 512 , 2048 , 8192 , 32768

, , , , , , ,
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 .
Multiply .
Rewrite as .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Apply the distributive property.
Multiply by .
Use the power rule to combine exponents.
Subtract from .
Substitute in the value of to find the th term.
Multiply by .
Subtract from .
Raise to the power of .
Find the 9th Term 2 , 8 , 32 , 128 , 512 , 2048 , 8192 , 32768