Question

6/10
which function definition correctly represents the sequence starting at -100 and increasing by 50?
-100 + 50(n-1)
-150 + 50n
-100 + 50n
-150 + 50(n-1)

Explanation:

Step1: Recall arithmetic sequence formula

The general formula for the $n$-th term of an arithmetic sequence is $a_n = a_1 + d(n-1)$, where $a_1$ is the first term, and $d$ is the common difference.

Step2: Identify given values

Here, $a_1 = -100$, $d = 50$. Substitute into the formula:
$a_n = -100 + 50(n-1)$

Step3: Verify simplification (optional)

Simplify the formula:
$a_n = -100 + 50n - 50 = -150 + 50n$

Answer:

A. $-100 + 50(n-1)$
B. $-150 + 50n$