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Question 1: The first 5 terms of a sequence are: 19, 37, 63, 97, 139 a) Calculate the n ^{th} term b) Hence calculate the 30^{th} term |

Question 2: The first 5 terms of a sequence are: 6, 13, 26, 45, 70 a) Calculate the n ^{th} term b) Hence calculate the 17^{th} term |

Question 3: The first 5 terms of a sequence are: -2, -1, 4, 13, 26 a) Calculate the n ^{th} term b) Hence calculate the 14^{th} term |

Question 4: The first 5 terms of a sequence are: 5, 23, 51, 89, 137 a) Calculate the n ^{th} term b) Hence calculate the 13^{th} term |

Question 5: The first 5 terms of a sequence are: 4, 10, 24, 46, 76 a) Calculate the n ^{th} term b) Hence calculate the 40^{th} term |

Question 6: The first 5 terms of a sequence are: -6, -4, 2, 12, 26 a) Calculate the n ^{th} term b) Hence calculate the 16^{th} term |

Question 7: The first 5 terms of a sequence are: 16, 30, 50, 76, 108 a) Calculate the n ^{th} term b) Hence calculate the 15^{th} term |

Question 8: The first 5 terms of a sequence are: -7, 5, 27, 59, 101 a) Calculate the n ^{th} term b) Hence calculate the 25^{th} term |

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# Answers

Question 1: a) The n^{th} term is 4n^{2}+6n+9b) 3,789 |

Question 2: a) The n^{th} term is 3n^{2}-2n+5b) 838 |

Question 3: a) The n^{th} term is 2n^{2}-5n+1b) 323 |

Question 4: a) The n^{th} term is 5n^{2}+3n-3b) 881 |

Question 5: a) The n^{th} term is 4n^{2}-6n+6b) 6,166 |

Question 6: a) The n^{th} term is 2n^{2}-4n-4b) 444 |

Question 7: a) The n^{th} term is 3n^{2}+5n+8b) 758 |

Question 8: a) The n^{th} term is 5n^{2}-3n-9b) 3,041 |