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Review of Sequences and Series.  Find the explicit and recursive formulas for the sequence:  -4, 1, 6, 11, 16, ….

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Presentation on theme: "Review of Sequences and Series.  Find the explicit and recursive formulas for the sequence:  -4, 1, 6, 11, 16, …."— Presentation transcript:

1 Review of Sequences and Series

2  Find the explicit and recursive formulas for the sequence:  -4, 1, 6, 11, 16, ….

3  Find the explicit and recursive formulas for the sequence:  -4, 1, 6, 11, 16, ….

4  Find the explicit and recursive formulas for the following sequence:  2, 1, ½, ¼, 1/8,….

5  Find the explicit and recursive formulas for the following sequence:  2, 1, ½, ¼, 1/8,….

6  Find of the following sequence:  3, -1, -5, -9, -13,….

7  Find of the following sequence:  3, -1, -5, -9, -13,….

8  Find of the sequence:  3, -1, -5, -9, -13,….

9  Find of the sequence:  3, -1, -5, -9, -13,….

10  Findof the following sequence:  3, 12, 48, 192,….

11  Findof the following sequence:  3, 12, 48, 192,….

12  Findof the sequence:  3, 12, 48, 192,….

13  Findof the sequence:  3, 12, 48, 192,….

14  What does n equal when = 4?  120, 116, 112, 108,…., 4

15  What does n equal when = 4?  120, 116, 112, 108,…., 4

16  The 6 th and 9 th terms of an arithmetic sequence are 10 and 28, respectively. Find the explicit formula for the sequence.

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18  The 4 th and 7 th terms of a geometric sequence are 4 and 32, respectively. Find the explicit formula for the sequence.

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20  Does the sequence converge or diverge?

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22  Write the series in summation notation:  4 + -8 + 16 + -32 + ….. + 1024

23  Write the series in summation notation:  4 + -8 + 16 + -32 + ….. + 1024

24  4 + 2 + 1 + ½ + ……  Find

25  4 + 2 + 1 + ½ + ……  Find

26  Find the sum:

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