Question

What is the equation for the nth term of the arithmetic sequence?

1) an = –2 – 3n
2) an = –2 + 3(n – 1)
3) an = –2 + 3n
4) an = –2 + 3(n + 1)

Answer 1

The equation for the nth term of an arithmetic sequence is: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between terms. The correct equation for the given arithmetic sequence is an = -2 + 3(n - 1).

Step-by-step explanation:

The equation for the nth term of an arithmetic sequence is given by the formula:

an = a1 + (n - 1)d

Where:

• an is the nth term
• a1 is the first term
• n is the term number
• d is the common difference between terms

Out of the given options, the correct equation for the nth term of the arithmetic sequence is an = -2 + 3(n - 1) (Option 2).