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, - 2, 4, - 8, 16, and - 32
f(n)= (- 2)^(n-1) To do so, we will construct a table.
n | f(n)= (- 2)^(n-1) | f(n) |
---|---|---|
1 | f( 1)=(- 2)^(1-1) | 1 |
2 | f( 2)=(- 2)^(2-1) | - 2 |
3 | f( 3)=(- 2)^(3-1) | 4 |
4 | f( 4)=(- 2)^(4-1) | - 8 |
5 | f( 5)=(- 2)^(5-1) | 16 |
6 | f( 6)=(- 2)^(6-1) | - 32 |
The first 6 terms of this explicit sequence are 1, - 2, 4, - 8, 16, and - 32.