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Question 1: The first 5 terms of a sequence are: 2, 10, 18, 26, 34 a) Calculate the n ^{th} term b) Hence calculate the 30 ^{th} term c) Is 594 in the sequence? Give a reason for your answer |

Question 2: The first 5 terms of a sequence are: -6, -13, -20, -27, -34 a) Calculate the n ^{th} term b) Hence calculate the 13 ^{th} term c) Is -481 in the sequence? Give a reason for your answer |

Question 3: The first 5 terms of a sequence are: 15, 22, 29, 36, 43 a) Calculate the n ^{th} term b) Hence calculate the 11 ^{th} term c) Is 540 in the sequence? Give a reason for your answer |

Question 4: The first 5 terms of a sequence are: 3, -3, -9, -15, -21 a) Calculate the n ^{th} term b) Hence calculate the 12 ^{th} term c) Is -417 in the sequence? Give a reason for your answer |

Question 5: The first 5 terms of a sequence are: -11, -13, -15, -17, -19 a) Calculate the n ^{th} term b) Hence calculate the 25 ^{th} term c) Is -185 in the sequence? Give a reason for your answer |

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# Answers

Question 1: a) The n^{th} term is 8n-6b) 234 c) Solving 8n+-6 = 594 => n = 75 therefore it is in the sequence |

Question 2: a) The n^{th} term is -7n+1b) -90 c) Solving -7n+1 = -481 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 7n+8b) 85 c) Solving 7n+8 = 540 => n = 76 therefore it is in the sequence |

Question 4: a) The n^{th} term is -6n+9b) -63 c) Solving -6n+9 = -417 => n = 71 therefore it is in the sequence |

Question 5: a) The n^{th} term is -2n-9b) -59 c) Solving -2n+-9 = -185 => n = 88 therefore it is in the sequence |