1. Defining and Using Sequences and Series
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Substitute values for n=1, 2, 3, 4, 5, and 6 to find the first 6 terms.
- 1, - 4, - 9, - 16, - 25, and - 36
a_n=- n^2 To do so, we will construct a table.
n | a_n=- n^2 | a_n |
---|---|---|
1 | a_1=- 1^2 | - 1 |
2 | a_2=- 2^2 | - 4 |
3 | a_3=- 3^2 | - 9 |
4 | a_4=- 4^2 | - 16 |
5 | a_5=- 5^2 | - 25 |
6 | a_6=- 6^2 | - 36 |
The first 6 terms of this explicit sequence are - 1, - 4, - 9, - 16, - 25, and - 36.