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Question 1: The first 5 terms of a sequence are: 3, 13, 33, 63, 103 a) Calculate the n ^{th} term b) Hence calculate the 25^{th} term |

Question 2: The first 5 terms of a sequence are: -1, 12, 31, 56, 87 a) Calculate the n ^{th} term b) Hence calculate the 11^{th} term |

Question 3: The first 5 terms of a sequence are: -7, 1, 17, 41, 73 a) Calculate the n ^{th} term b) Hence calculate the 19^{th} term |

Question 4: The first 5 terms of a sequence are: -8, -8, -4, 4, 16 a) Calculate the n ^{th} term b) Hence calculate the 50^{th} term |

Question 5: The first 5 terms of a sequence are: 2, 20, 48, 86, 134 a) Calculate the n ^{th} term b) Hence calculate the 45^{th} term |

Question 6: The first 5 terms of a sequence are: 1, 13, 35, 67, 109 a) Calculate the n ^{th} term b) Hence calculate the 18^{th} term |

Question 7: The first 5 terms of a sequence are: -9, -5, 3, 15, 31 a) Calculate the n ^{th} term b) Hence calculate the 16^{th} term |

Question 8: The first 5 terms of a sequence are: 12, 26, 48, 78, 116 a) Calculate the n ^{th} term b) Hence calculate the 12^{th} term |

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# Answers

Question 1: a) The n^{th} term is 5n^{2}-5n+3b) 3,003 |

Question 2: a) The n^{th} term is 3n^{2}+4n-8b) 399 |

Question 3: a) The n^{th} term is 4n^{2}-4n-7b) 1,361 |

Question 4: a) The n^{th} term is 2n^{2}-6n-4b) 4,696 |

Question 5: a) The n^{th} term is 5n^{2}+3n-6b) 10,254 |

Question 6: a) The n^{th} term is 5n^{2}-3n-1b) 1,565 |

Question 7: a) The n^{th} term is 2n^{2}-2n-9b) 471 |

Question 8: a) The n^{th} term is 4n^{2}+2n+6b) 606 |