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Name: Date: Period:

Show appropriate work on a separate piece of paper.

|Find the first four terms of each sequence defined by the recursive or explicit formula. |

|1. |[pic] |2. |[pic] |

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| |________, _______, _______, _______ | |________, _______, _______, _______ |

|3. |[pic] |4. |[pic] |

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| |________, _______, _______, _______ | |________, _______, _______, _______ |

Determine whether the sequence is arithmetic, geometric, or neither.

|5. |2, 5, 9, 14, 20, … |6. |-5, -2, 1, 4, 7, … |7. |3, 8, 13, 18, 23, … |

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|8. |-3, 0, 6, 15, 27, … |9. |1, 3, 9, 27, 81, … |10. |1, 5, 6, 10, 11, … |

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|11. |1, 2, 3, 4, 5, … |12. |7, 12, 17, 22, 27, … |13. |1, 2, 4, 8, 16, … |

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|Find the next three terms in each sequence and write the explicit rule. |

|20. |1, 6, 11, 16, 21, … |21. |4, 7, 10, 13, 16, … |

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| |________, _______, _______ Rule: ______________ | |________, _______, _______ Rule: _____________ |

|Find the indicated term. |

|22. |3rd term; [pic] |23. |5th term; [pic] |

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| |3rd term: __________ | |5th term: __________ |

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|Sequence Review WS |

|Write the explicit formula for the nth term of the arithmetic sequence with the given characteristics |

|24. |[pic],[pic] |25. |[pic], [pic] |

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| |Explicit Formula: __________________ | |Explicit Formula: __________________ |

|26. |[pic], [pic] |27. |[pic], [pic] |

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| |Explicit Formula: __________________ | |Explicit Formula: __________________ |

|Write the recursive rule for the arithmetic sequence with the given characteristics. |

|28. |[pic] |29. |[pic] |

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| |Recursive Rule: _________ __________________ | |Recursive Rule: _________ __________________ |

|Find the indicated term given two terms in an arithmetic sequence. |

|30. |9th term; [pic] and [pic] |31. |12th term; [pic] and [pic] |

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| |9th term: __________ | |12th term: __________ |

|Write the explicit formula for the nth term of each geometric sequence. |

|32. |-3, -6, -12, -24, … |33. |2, -6, 18, -54, … |

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| |Explicit Formula: __________________ | |Explicit Formula: __________________ |

|Write the recursive rule for the geometric sequence with the given characteristics. |

|34. |[pic] and [pic] |35. |64, 16, 4, 1, … |

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| |Recursive Rule: _________ __________________ | |Recursive Rule: _________ _________________ |

Sequence Review WS

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