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Question 1: The first 5 terms of a sequence are: 11, 13, 15, 17, 19 a) Calculate the n ^{th} term b) Hence calculate the 40 ^{th} term c) Is 121 in the sequence? Give a reason for your answer |

Question 2: The first 5 terms of a sequence are: 0, -7, -14, -21, -28 a) Calculate the n ^{th} term b) Hence calculate the 11 ^{th} term c) Is -385 in the sequence? Give a reason for your answer |

Question 3: The first 5 terms of a sequence are: 0, 7, 14, 21, 28 a) Calculate the n ^{th} term b) Hence calculate the 45 ^{th} term c) Is 595 in the sequence? Give a reason for your answer |

Question 4: The first 5 terms of a sequence are: 4, 9, 14, 19, 24 a) Calculate the n ^{th} term b) Hence calculate the 12 ^{th} term c) Is 445 in the sequence? Give a reason for your answer |

Question 5: The first 5 terms of a sequence are: 0, 8, 16, 24, 32 a) Calculate the n ^{th} term b) Hence calculate the 17 ^{th} term c) Is 592 in the sequence? Give a reason for your answer |

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# Answers

Question 1: a) The n^{th} term is 2n+9b) 89 c) Solving 2n+9 = 121 => n = 56 therefore it is in the sequence |

Question 2: a) The n^{th} term is -7n+7b) -70 c) Solving -7n+7 = -385 => n = 56 therefore it is in the sequence |

Question 3: a) The n^{th} term is 7n-7b) 308 c) Solving 7n+-7 = 595 => n = 86 therefore it is in the sequence |

Question 4: a) The n^{th} term is 5n-1b) 59 c) Solving 5n+-1 = 445 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 8n-8b) 128 c) Solving 8n+-8 = 592 => n = 75 therefore it is in the sequence |