Question

Enter the first four terms.

Answer 1

Answer:

1/2, 2, 9/2, and 8.

Step-by-step explanation:

In this case, we have an explicit rule.

So, to find the nth term, we can simply substitute a value into our function and evaluate.

For the first term, n=1. Thus:

$f(1)=\frac{(1)^2}{2}$

Evaluate:

$f(1)=\frac{1}{2}$

Hence, our first term is 1/2.

For the second term, n=2. Thus:

$f(2)=\frac{(2)^2}{2}$

Evaluate:

$f(2)=\frac{4}{2}=2$

Hence, the second term is 2.

For the third term, n=3. Thus:

$f(3)=\frac{3^2}{2}=\frac{9}{2}$

So, the third term is 9/2.

And for the fourth term, n=4. Thus:

$f(4)=\frac{4^2}{2}=\frac{16}{2}=8$

Therefore, the fourth term is 8.

Hence, our first four terms are: 1/2, 2, 9/2, and 8.