7. Arithmetic Sequences
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Substitute 2, 4, and 11 for n in the given explicit formula.
2, -4, - 25
We want to find certain terms of an arithmetic sequence described by its explicit formula.
A(n)=5+(n-1)(-3)
n= 2
Subtract term
Identity Property of Multiplication
a+(- b)=a-b
Subtract term
Now, let's do the same thing for the fourth and eleventh terms.
| A(n)=5+(n-1)(-3) | ||
|---|---|---|
| Term | Substitute | Simplify |
| 2 | 5+( 2-1)(- 3) | 2 |
| 4 | 5+( 4-1)(- 3) | - 4 |
| 11 | 5+( 11-1)(- 3) | - 25 |
The second, fourth, and eleventh terms are 2, - 4, and - 25, respectively.