6/10\nwhich function definition correctly represents the sequence starting at -100 and increasing by…

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

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

Answer

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. $-150 + 50n$