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Question 1: The first 5 terms of a sequence are: -12, -20, -28, -36, -44 a) Calculate the n ^{th} term b) Hence calculate the 17 ^{th} term c) Is -532 in the sequence? Give a reason for your answer |

Question 2: The first 5 terms of a sequence are: -6, -11, -16, -21, -26 a) Calculate the n ^{th} term b) Hence calculate the 25 ^{th} term c) Is -280 in the sequence? Give a reason for your answer |

Question 3: The first 5 terms of a sequence are: 17, 25, 33, 41, 49 a) Calculate the n ^{th} term b) Hence calculate the 35 ^{th} term c) Is 569 in the sequence? Give a reason for your answer |

Question 4: The first 5 terms of a sequence are: 8, 14, 20, 26, 32 a) Calculate the n ^{th} term b) Hence calculate the 19 ^{th} term c) Is 375 in the sequence? Give a reason for your answer |

Question 5: The first 5 terms of a sequence are: 0, 3, 6, 9, 12 a) Calculate the n ^{th} term b) Hence calculate the 15 ^{th} term c) Is 201 in the sequence? Give a reason for your answer |

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# Answers

Question 1: a) The n^{th} term is -8n-4b) -140 c) Solving -8n+-4 = -532 => n = 66 therefore it is in the sequence |

Question 2: a) The n^{th} term is -5n-1b) -126 c) Solving -5n+-1 = -280 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 8n+9b) 289 c) Solving 8n+9 = 569 => n = 70 therefore it is in the sequence |

Question 4: a) The n^{th} term is 6n+2b) 116 c) Solving 6n+2 = 375 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 3n-3b) 42 c) Solving 3n+-3 = 201 => n = 68 therefore it is in the sequence |