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Question 1: The first 5 terms of a sequence are: 8, 17, 36, 65, 104 a) Calculate the n ^{th} term b) Hence calculate the 15^{th} term |

Question 2: The first 5 terms of a sequence are: 0, 7, 20, 39, 64 a) Calculate the n ^{th} term b) Hence calculate the 40^{th} term |

Question 3: The first 5 terms of a sequence are: 7, 24, 49, 82, 123 a) Calculate the n ^{th} term b) Hence calculate the 30^{th} term |

Question 4: The first 5 terms of a sequence are: -5, -2, 5, 16, 31 a) Calculate the n ^{th} term b) Hence calculate the 11^{th} term |

Question 5: The first 5 terms of a sequence are: 17, 38, 69, 110, 161 a) Calculate the n ^{th} term b) Hence calculate the 20^{th} term |

Question 6: The first 5 terms of a sequence are: 1, 11, 31, 61, 101 a) Calculate the n ^{th} term b) Hence calculate the 14^{th} term |

Question 7: The first 5 terms of a sequence are: -1, 12, 31, 56, 87 a) Calculate the n ^{th} term b) Hence calculate the 12^{th} term |

Question 8: The first 5 terms of a sequence are: 9, 18, 31, 48, 69 a) Calculate the n ^{th} term b) Hence calculate the 18^{th} term |

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# Answers

Question 1: a) The n^{th} term is 5n^{2}-6n+9b) 1,044 |

Question 2: a) The n^{th} term is 3n^{2}-2n-1b) 4,719 |

Question 3: a) The n^{th} term is 4n^{2}+5n-2b) 3,748 |

Question 4: a) The n^{th} term is 2n^{2}-3n-4b) 205 |

Question 5: a) The n^{th} term is 5n^{2}+6n+6b) 2,126 |

Question 6: a) The n^{th} term is 5n^{2}-5n+1b) 911 |

Question 7: a) The n^{th} term is 3n^{2}+4n-8b) 472 |

Question 8: a) The n^{th} term is 2n^{2}+3n+4b) 706 |