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

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Presentation transcript:

Review of Sequences and Series

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

 Does the sequence converge or diverge?

 Write the series in summation notation:  …

 Write the series in summation notation:  …

 ½ + ……  Find

 ½ + ……  Find

 Find the sum: