# Precalculus Examples

, , ,
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 .
Remove parentheses around .
This is the formula to find the sum of the first terms of the geometric sequence. To evaluate it, find the values of and .
Replace the variables with the known values to find .
Simplify the numerator.
Remove parentheses around .
Raise to the power of .
Subtract from .
Simplify the expression.
Subtract from .
Divide by .
Multiply by .
Convert the fraction to a decimal.