Question
Complete the table.
f(n) = n2 − 6n
n f(n)
2
3
4
5
f(n) = n2 − 6n
n f(n)
2
3
4
5
Answers
GPT-4o mini
To complete the table given the function \( f(n) = n^2 - 6n \), we will calculate \( f(n) \) for each value of \( n \).
1. For \( n = 2 \):
\[
f(2) = 2^2 - 6 \cdot 2 = 4 - 12 = -8
\]
2. For \( n = 3 \):
\[
f(3) = 3^2 - 6 \cdot 3 = 9 - 18 = -9
\]
3. For \( n = 4 \):
\[
f(4) = 4^2 - 6 \cdot 4 = 16 - 24 = -8
\]
4. For \( n = 5 \):
\[
f(5) = 5^2 - 6 \cdot 5 = 25 - 30 = -5
\]
Now we can complete the table:
| n | f(n) |
|-----|--------|
| 2 | -8 |
| 3 | -9 |
| 4 | -8 |
| 5 | -5 |
1. For \( n = 2 \):
\[
f(2) = 2^2 - 6 \cdot 2 = 4 - 12 = -8
\]
2. For \( n = 3 \):
\[
f(3) = 3^2 - 6 \cdot 3 = 9 - 18 = -9
\]
3. For \( n = 4 \):
\[
f(4) = 4^2 - 6 \cdot 4 = 16 - 24 = -8
\]
4. For \( n = 5 \):
\[
f(5) = 5^2 - 6 \cdot 5 = 25 - 30 = -5
\]
Now we can complete the table:
| n | f(n) |
|-----|--------|
| 2 | -8 |
| 3 | -9 |
| 4 | -8 |
| 5 | -5 |