Infinite sum |
---|

sum_(k=0)^infinity x^k = 1/(1 – x) when abs(x)<1 |

Convergence tests |

By the geometric series test, the series diverges. |

Partial sum formula |

sum_(k=0)^n x^k = (x^(n + 1) – 1)/(x – 1) |

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## How To Solve Geometric Series

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Infinite sum |
---|

sum_(k=0)^infinity x^k = 1/(1 – x) when abs(x)<1 |

Convergence tests |

By the geometric series test, the series diverges. |

Partial sum formula |

sum_(k=0)^n x^k = (x^(n + 1) – 1)/(x – 1) |

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