, , , , , , ,

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 .

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