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Question 1: The first 5 terms of a sequence are: 9, 18, 31, 48, 69 a) Calculate the n ^{th} term b) Hence calculate the 25^{th} term |

Question 2: The first 5 terms of a sequence are: 6, 23, 50, 87, 134 a) Calculate the n ^{th} term b) Hence calculate the 16^{th} term |

Question 3: The first 5 terms of a sequence are: 3, 11, 27, 51, 83 a) Calculate the n ^{th} term b) Hence calculate the 40^{th} term |

Question 4: The first 5 terms of a sequence are: 4, 8, 18, 34, 56 a) Calculate the n ^{th} term b) Hence calculate the 15^{th} term |

Question 5: The first 5 terms of a sequence are: -6, -2, 6, 18, 34 a) Calculate the n ^{th} term b) Hence calculate the 11^{th} term |

Question 6: The first 5 terms of a sequence are: 8, 21, 40, 65, 96 a) Calculate the n ^{th} term b) Hence calculate the 10^{th} term |

Question 7: The first 5 terms of a sequence are: -4, -1, 6, 17, 32 a) Calculate the n ^{th} term b) Hence calculate the 50^{th} term |

Question 8: The first 5 terms of a sequence are: 6, 26, 56, 96, 146 a) Calculate the n ^{th} term b) Hence calculate the 45^{th} term |

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# Answers

Question 1: a) The n^{th} term is 2n^{2}+3n+4b) 1,329 |

Question 2: a) The n^{th} term is 5n^{2}+2n-1b) 1,311 |

Question 3: a) The n^{th} term is 4n^{2}-4n+3b) 6,243 |

Question 4: a) The n^{th} term is 3n^{2}-5n+6b) 606 |

Question 5: a) The n^{th} term is 2n^{2}-2n-6b) 214 |

Question 6: a) The n^{th} term is 3n^{2}+4n+1b) 341 |

Question 7: a) The n^{th} term is 2n^{2}-3n-3b) 4,847 |

Question 8: a) The n^{th} term is 5n^{2}+5n-4b) 10,346 |