Question

Enter the first four terms.

Answer 1

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

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)=((1)^2)/(2)`

Evaluate:

`f(1)=(1)/(2)`

Hence, our first term is 1/2.

For the second term, n=2. Thus:

`f(2)=((2)^2)/(2)`

Evaluate:

`f(2)=(4)/(2)=2`

Hence, the second term is 2.

For the third term, n=3. Thus:

`f(3)=(3^2)/(2)=(9)/(2)`

So, the third term is 9/2.

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

`f(4)=(4^2)/(2)=(16)/(2)=8`

Therefore, the fourth term is 8.

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