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.
- 4, - 1, 4, 11, 20, and 31
a_n= n^2-5 To do so we will construct a table.
n | a_n=n^2-5 | a_n |
---|---|---|
1 | a_1= 1^2-5 | - 4 |
2 | a_2= 2^2-5 | - 1 |
3 | a_3= 3^2-5 | 4 |
4 | a_4= 4^2-5 | 11 |
5 | a_5= 5^2-5 | 20 |
6 | a_6= 6^2-5 | 31 |
The first 6 terms of this explicit sequence are - 4, - 1, 4, 11, 20, and 31.