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Question 1: The first 5 terms of a sequence are: 9, 23, 45, 75, 113 a) Calculate the n ^{th} term b) Hence calculate the 30^{th} term |

Question 2: The first 5 terms of a sequence are: -3, 1, 11, 27, 49 a) Calculate the n ^{th} term b) Hence calculate the 15^{th} term |

Question 3: The first 5 terms of a sequence are: -6, -6, -2, 6, 18 a) Calculate the n ^{th} term b) Hence calculate the 20^{th} term |

Question 4: The first 5 terms of a sequence are: 2, 20, 48, 86, 134 a) Calculate the n ^{th} term b) Hence calculate the 19^{th} term |

Question 5: The first 5 terms of a sequence are: 6, 14, 30, 54, 86 a) Calculate the n ^{th} term b) Hence calculate the 35^{th} term |

Question 6: The first 5 terms of a sequence are: 6, 26, 56, 96, 146 a) Calculate the n ^{th} term b) Hence calculate the 13^{th} term |

Question 7: The first 5 terms of a sequence are: 11, 21, 35, 53, 75 a) Calculate the n ^{th} term b) Hence calculate the 25^{th} term |

Question 8: The first 5 terms of a sequence are: -2, 5, 18, 37, 62 a) Calculate the n ^{th} term b) Hence calculate the 10^{th} term |

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# Answers

Question 1: a) The n^{th} term is 4n^{2}+2n+3b) 3,663 |

Question 2: a) The n^{th} term is 3n^{2}-5n-1b) 599 |

Question 3: a) The n^{th} term is 2n^{2}-6n-2b) 678 |

Question 4: a) The n^{th} term is 5n^{2}+3n-6b) 1,856 |

Question 5: a) The n^{th} term is 4n^{2}-4n+6b) 4,766 |

Question 6: a) The n^{th} term is 5n^{2}+5n-4b) 906 |

Question 7: a) The n^{th} term is 2n^{2}+4n+5b) 1,355 |

Question 8: a) The n^{th} term is 3n^{2}-2n-3b) 277 |