Sequences and series Worksheet 7 - Jacaranda



WorkSHEET 9.1 Sequences and series Name: ___________________________

| |Determine the first 3 terms of the sequence |[pic] |3 |

| |tn = 2n(6, n[pic]{1, 2, 3, …}. |The first 3 terms are (4, (2, and 0. | |

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| |Show that the sequence |[pic] |2 |

| |tn:{(0.9, (0.7, (0.5, …} is an arithmetic sequence. |(Common difference = 0.2 | |

| | |Thus, it is an arithmetic sequence. | |

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| |Find the rule for the arithmetic sequence |[pic] |3 |

| |tn:{[pic], [pic], [pic], …}. |This is the required rule. | |

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| |Find the 10th term of the arithmetic sequence tn:{(10, (6, (2, …}. |[pic] |3 |

| | |The 10th term is 26. | |

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| |The 3 consecutive terms of an arithmetic sequence are 3.6, y, 8.2. |[pic] |2 |

| |Find the value of y. | | |

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| |Insert 3 evenly spaced numbers between |[pic] |4 |

| |(2 and 10. |Thus we have – 2, 1, 4, 7, 10 evenly spaced. | |

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| |Find the 10th term of the arithmetic sequence where the first term is |[pic] |4 |

| |5 and the 4th term is 17. | | |

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| |Find the difference between the 4th term and the 10th term of the |[pic] |3 |

| |arithmetic sequence | | |

| |tn:{2, (1, (4, …}. | | |

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| |The 10th term in an arithmetic sequence is 8 and the 4th term is (4. |[pic] |4 |

| |Determine the first term a. | | |

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| |Find the sum to first 8 terms of the arithmetic sequence tn:{(14, (12,|[pic] |2 |

| |(10, …}. | | |

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