Given f(x) = 3x, what are the first five terms?
Understand the Problem
The question asks for the first five terms of the function f(x) = 3x, implying a need to evaluate the function at different values of x and list the results.
Answer
The first five terms of the function $f(x) = 3x$ are $3, 6, 9, 12, 15$.
Answer for screen readers
The first five terms of the function $f(x) = 3x$ are: $3, 6, 9, 12, 15$.
Steps to Solve
- Identify Values of x
We will evaluate the function $f(x) = 3x$ at the values of $x = 1, 2, 3, 4, 5$ to find the first five terms.
- Evaluate the Function
Now, substitute each value into the function:
- For $x = 1$: $$ f(1) = 3 \times 1 = 3 $$
- For $x = 2$: $$ f(2) = 3 \times 2 = 6 $$
- For $x = 3$: $$ f(3) = 3 \times 3 = 9 $$
- For $x = 4$: $$ f(4) = 3 \times 4 = 12 $$
- For $x = 5$: $$ f(5) = 3 \times 5 = 15 $$
- List the Results
The first five terms of the function are:
- $f(1) = 3$
- $f(2) = 6$
- $f(3) = 9$
- $f(4) = 12$
- $f(5) = 15$
The first five terms of the function $f(x) = 3x$ are: $3, 6, 9, 12, 15$.
More Information
This problem demonstrates how a linear function can be evaluated at discrete integer values to yield a straightforward arithmetic sequence. The values consistently increase by 3, which is the coefficient of $x$ in the function.
Tips
- Choosing wrong values of x: Make sure to use consecutive integers starting from 1.
- Incorrect multiplication: Ensure that you accurately multiply $3$ by the current value of $x$.
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