Sequences are a lists of values, that can be generated by the use of a formula. You generally see a pattern and then we have to determine if the sequence will converge or approach a finite number or not. For series that do not converge we can see the limit to see what the series approaches.

Examples covered in this series:

1. {An} = {10 + (-1)^n}

2. {An} = {cos(2n Pi)}

3. {Bn} = {5cos(n Pi)}

4. {Cn} = {cos(n Pi) - (-1)^n}

5. {An} = { [(-1)^n] / n^2}

6. {An} = { 3n / 1 - 2n}

7. {An} = {5n^2 / (n^2) +2}

8. {An} = {13n^2/15n}

9. {An} = {5n^2 / (n^2) + 2 }

10. {An} = {5n/ sqrt( n^2 + 4))}

11. {Bn} = { n^2 / 5^n - 7}

12) The recursive function {Cn} with c1 = 1/3 and Cn+1 = 3Cn

13) The recursive function {An} with A1 = 256, An+1 = Sqrt(An)

14) The sequence with terms {1/1, 2/4, 3/9, 4/16, 5/25, ... }

15) The sequence with terms { 1, 8, 27, 64, 125, 216, ... }

16) The sequence with terms { 1/3, 3/9, 5/27, 7/81, 9/243, ... }

17) The sequence with terms { -3/2 , 3/4, -3/6, 3/8, -3/10, ...}

18) The sequence with terms { 1/4, 2/9, 3/16, 4/25, 5/36, ...}