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Question 1: The first 5 terms of a sequence are: 15, 24, 33, 42, 51 a) Calculate the n ^{th} term b) Hence calculate the 13 ^{th} term c) Is 493 in the sequence? Give a reason for your answer |

Question 2: The first 5 terms of a sequence are: 7, 12, 17, 22, 27 a) Calculate the n ^{th} term b) Hence calculate the 15 ^{th} term c) Is 482 in the sequence? Give a reason for your answer |

Question 3: The first 5 terms of a sequence are: -12, -15, -18, -21, -24 a) Calculate the n ^{th} term b) Hence calculate the 18 ^{th} term c) Is -168 in the sequence? Give a reason for your answer |

Question 4: The first 5 terms of a sequence are: -6, -4, -2, 0, 2 a) Calculate the n ^{th} term b) Hence calculate the 35 ^{th} term c) Is 181 in the sequence? Give a reason for your answer |

Question 5: The first 5 terms of a sequence are: 2, 6, 10, 14, 18 a) Calculate the n ^{th} term b) Hence calculate the 11 ^{th} term c) Is 202 in the sequence? Give a reason for your answer |

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# Answers

Question 1: a) The n^{th} term is 9n+6b) 123 c) Solving 9n+6 = 493 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 5n+2b) 77 c) Solving 5n+2 = 482 => n = 96 therefore it is in the sequence |

Question 3: a) The n^{th} term is -3n-9b) -63 c) Solving -3n+-9 = -168 => n = 53 therefore it is in the sequence |

Question 4: a) The n^{th} term is 2n-8b) 62 c) Solving 2n+-8 = 181 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 4n-2b) 42 c) Solving 4n+-2 = 202 => n = 51 therefore it is in the sequence |