Question

in the arithmetic sequence 3, 9, 15, 21, ..., the common difference is select choice and the first term is select choice.

Explanation:

Step1: Find the common difference

In an arithmetic sequence, the common difference \(d\) is found by subtracting the first term from the second term (or any term from the next term). Here, the first term \(a_1 = 3\), the second term \(a_2=9\). So \(d=a_2 - a_1=9 - 3 = 6\).

Step2: Identify the first term

The first term of the sequence \(3, 9, 15, 21, \dots\) is \(3\).

Answer:

The common difference is \(6\) and the first term is \(3\).