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2. | a formula used for determining the next term of a sequence using one or more of the previous terms. |

3. | if the iterates do not approch infinity for some initial value, that point is called a prisoner point. |

5. | the series by which e to the x power may be approximated. |

6. | a problem that can be solved using binomial expansion. |

7. | a sequence in which the difference between successive terms is a constant. |

8. | a method of proof that depends on a recursive process. |

9. | symbolizes n! |

10. | a sequence in which the ratio between successive terms is a constant. |

11. | for any sequence a1, a2, a3 |

13. | the indicated sum of the terms of an arithmetic sequence. |

14. | the difference between the successive terms of an arithmetic sequence. |

15. | represents the sum of the first n terms of a series. |

17. | a sequence which has infinitely many terms. |

18. | the terms between any two nonconsecutive terms of a geometric sequence. |

20. | triangular array of numbers such that the (n +1) to the th power row is the coefficient of the terms of the expansion ( x + y) to the n power for n = 0, 1, 2, .... |

22. | the graph of the sequence of successive iterates. |

23. | if a sequence of partial sums has a limit, then the related infinite series is said to converge. |

25. | if a sequence of partial sums does not have a limit, then the related series is said to diverge. |

27. | numbers in a sequence or series. |