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Question 1: The first 5 terms of a sequence are: 5, 14, 33, 62, 101 a) Calculate the n ^{th} term b) Hence calculate the 17^{th} term |

Question 2: The first 5 terms of a sequence are: 9, 23, 45, 75, 113 a) Calculate the n ^{th} term b) Hence calculate the 15^{th} term |

Question 3: The first 5 terms of a sequence are: 4, 16, 32, 52, 76 a) Calculate the n ^{th} term b) Hence calculate the 20^{th} term |

Question 4: The first 5 terms of a sequence are: -4, 3, 16, 35, 60 a) Calculate the n ^{th} term b) Hence calculate the 10^{th} term |

Question 5: The first 5 terms of a sequence are: 1, 19, 47, 85, 133 a) Calculate the n ^{th} term b) Hence calculate the 14^{th} term |

Question 6: The first 5 terms of a sequence are: 14, 24, 38, 56, 78 a) Calculate the n ^{th} term b) Hence calculate the 11^{th} term |

Question 7: The first 5 terms of a sequence are: 5, 15, 35, 65, 105 a) Calculate the n ^{th} term b) Hence calculate the 13^{th} term |

Question 8: The first 5 terms of a sequence are: 3, 8, 19, 36, 59 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+6b) 1,349 |

Question 2: a) The n^{th} term is 4n^{2}+2n+3b) 933 |

Question 3: a) The n^{th} term is 2n^{2}+6n-4b) 916 |

Question 4: a) The n^{th} term is 3n^{2}-2n-5b) 275 |

Question 5: a) The n^{th} term is 5n^{2}+3n-7b) 1,015 |

Question 6: a) The n^{th} term is 2n^{2}+4n+8b) 294 |

Question 7: a) The n^{th} term is 5n^{2}-5n+5b) 785 |

Question 8: a) The n^{th} term is 3n^{2}-4n+4b) 904 |