Question

9/10
what is the value of the third term in the sequence defined by -100 + 50(n-1)?
-100
0
-50
50
f(n) = -100 + 50(n-1)
f(n) = -100 + 50n - 50
f(n) = -150 + 50n
f(n) = -100 + 50n
so this one is not, not correct.

Explanation:

Step1: Identify n for third term

For the third term, $n=3$.

Step2: Substitute n into the formula

Substitute $n=3$ into $-100 + 50(n-1)$:

$$\begin{align*} -100 + 50(3-1) &= -100 + 50(2) \\ &= -100 + 100 \end{align*}$$

Step3: Calculate the final value

$$\begin{align*} -100 + 100 &= 0 \end{align*}$$

Answer:

0 (corresponding to the purple option)