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Question 1: The first 5 terms of a sequence are: 1, 16, 39, 70, 109 a) Calculate the n ^{th} term b) Hence calculate the 40^{th} term |

Question 2: The first 5 terms of a sequence are: 12, 22, 36, 54, 76 a) Calculate the n ^{th} term b) Hence calculate the 16^{th} term |

Question 3: The first 5 terms of a sequence are: -10, -7, 2, 17, 38 a) Calculate the n ^{th} term b) Hence calculate the 12^{th} term |

Question 4: The first 5 terms of a sequence are: -8, 2, 22, 52, 92 a) Calculate the n ^{th} term b) Hence calculate the 45^{th} term |

Question 5: The first 5 terms of a sequence are: 6, 15, 32, 57, 90 a) Calculate the n ^{th} term b) Hence calculate the 35^{th} term |

Question 6: The first 5 terms of a sequence are: 14, 25, 40, 59, 82 a) Calculate the n ^{th} term b) Hence calculate the 17^{th} term |

Question 7: The first 5 terms of a sequence are: 0, 5, 16, 33, 56 a) Calculate the n ^{th} term b) Hence calculate the 30^{th} term |

Question 8: The first 5 terms of a sequence are: -1, 12, 35, 68, 111 a) Calculate the n ^{th} term b) Hence calculate the 11^{th} term |

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# Answers

Question 1: a) The n^{th} term is 4n^{2}+3n-6b) 6,514 |

Question 2: a) The n^{th} term is 2n^{2}+4n+6b) 582 |

Question 3: a) The n^{th} term is 3n^{2}-6n-7b) 353 |

Question 4: a) The n^{th} term is 5n^{2}-5n-8b) 9,892 |

Question 5: a) The n^{th} term is 4n^{2}-3n+5b) 4,800 |

Question 6: a) The n^{th} term is 2n^{2}+5n+7b) 670 |

Question 7: a) The n^{th} term is 3n^{2}-4n+1b) 2,581 |

Question 8: a) The n^{th} term is 5n^{2}-2n-4b) 579 |