### Example 1

Find the sum of the infinite geometric series given by: . Simplify and solve for the sum. |

### Example 2

Find the sum of the infinite geometric series given by: . |

### Example 3

Find the sixth partial sum of the geometric series given by: . Simplify the equation to solve for the sixth partial sum. |

### Example 4

Find the sum: . Simplify the equation to solve for the third partial sum. |