Given the sequence 16, 11, 6, 1, -4 .. Represent the sequence as a table.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:**Given the sequence**: 16, 11, 6, 1, -4, ...
### Represent the sequence as a table.
| Term Number | Term |
|-------------|-------|
| 1 | 16 |
| 2 | 11 |
| 3 | 6 |
| 4 | 1 |
| 5 | -4 |
### Represent the sequence as a graph.
- A coordinate grid is provided for plotting the sequence. Plot each term of the sequence against its term number. For instance, plot the point (1, 16), (2, 11), and so on.
### Represent the sequence as an equation using function notation.
- Use function notation to express the relationship between the term number and the term value. For example, if the sequence follows a linear pattern, the function might look like: \( f(n) = 16 - 5(n - 1) \).
### Represent the sequence as an equation using subscript notation.
- Write the sequence using subscript notation to show how each term relates to each other. For instance, \( a_n = 16 - 5(n - 1) \).
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