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Question 1: The first 5 terms of a sequence are: 3, -2, -7, -12, -17 a) Calculate the n ^{th} term b) Hence calculate the 25 ^{th} term c) Is -271 in the sequence? Give a reason for your answer |

Question 2: The first 5 terms of a sequence are: 5, 8, 11, 14, 17 a) Calculate the n ^{th} term b) Hence calculate the 15 ^{th} term c) Is 230 in the sequence? Give a reason for your answer |

Question 3: The first 5 terms of a sequence are: -11, -18, -25, -32, -39 a) Calculate the n ^{th} term b) Hence calculate the 50 ^{th} term c) Is -444 in the sequence? Give a reason for your answer |

Question 4: The first 5 terms of a sequence are: 0, 9, 18, 27, 36 a) Calculate the n ^{th} term b) Hence calculate the 13 ^{th} term c) Is 721 in the sequence? Give a reason for your answer |

Question 5: The first 5 terms of a sequence are: -3, 2, 7, 12, 17 a) Calculate the n ^{th} term b) Hence calculate the 17 ^{th} term c) Is 447 in the sequence? Give a reason for your answer |

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# Answers

Question 1: a) The n^{th} term is -5n+8b) -117 c) Solving -5n+8 = -271 does not give a whole number answer for n (n must be a whole number), therefore it is not in the sequence |

Question 2: a) The n^{th} term is 3n+2b) 47 c) Solving 3n+2 = 230 => n = 76 therefore it is in the sequence |

Question 3: a) The n^{th} term is -7n-4b) -354 c) Solving -7n+-4 = -444 does not give a whole number answer for n (n must be a whole number), therefore it is not in the sequence |

Question 4: a) The n^{th} term is 9n-9b) 108 c) Solving 9n+-9 = 721 does not give a whole number answer for n (n must be a whole number), therefore it is not in the sequence |

Question 5: a) The n^{th} term is 5n-8b) 77 c) Solving 5n+-8 = 447 => n = 91 therefore it is in the sequence |