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Question 1: The first 5 terms of a sequence are: 8, 15, 22, 29, 36 a) Calculate the n ^{th} term b) Hence calculate the 12 ^{th} term c) Is 519 in the sequence? Give a reason for your answer |

Question 2: The first 5 terms of a sequence are: -9, -14, -19, -24, -29 a) Calculate the n ^{th} term b) Hence calculate the 19 ^{th} term c) Is -438 in the sequence? Give a reason for your answer |

Question 3: The first 5 terms of a sequence are: 4, 1, -2, -5, -8 a) Calculate the n ^{th} term b) Hence calculate the 13 ^{th} term c) Is -254 in the sequence? Give a reason for your answer |

Question 4: The first 5 terms of a sequence are: -1, -10, -19, -28, -37 a) Calculate the n ^{th} term b) Hence calculate the 50 ^{th} term c) Is -838 in the sequence? Give a reason for your answer |

Question 5: The first 5 terms of a sequence are: 10, 15, 20, 25, 30 a) Calculate the n ^{th} term b) Hence calculate the 45 ^{th} term c) Is 496 in the sequence? Give a reason for your answer |

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# Answers

Question 1: a) The n^{th} term is 7n+1b) 85 c) Solving 7n+1 = 519 => n = 74 therefore it is in the sequence |

Question 2: a) The n^{th} term is -5n-4b) -99 c) Solving -5n+-4 = -438 does not give a whole number answer for n (n must be a whole number), therefore it is not in the sequence |

Question 3: a) The n^{th} term is -3n+7b) -32 c) Solving -3n+7 = -254 => n = 87 therefore it is in the sequence |

Question 4: a) The n^{th} term is -9n+8b) -442 c) Solving -9n+8 = -838 => n = 94 therefore it is in the sequence |

Question 5: a) The n^{th} term is 5n+5b) 230 c) Solving 5n+5 = 496 does not give a whole number answer for n (n must be a whole number), therefore it is not in the sequence |