Question

the explicit rule for an arithmetic sequence is \\(a_n = -4 + (n - 1)7\\).

what is the common difference of the arithmetic sequence?
\\(d = \\)

what is the first term of the arithmetic sequence?

what values of \\(x\\), \\(y\\), and \\(z\\) complete the table for the arithmetic sequence?

\\(\

$$\begin{array}{|c|c|c|c|c|}\\hline n & 1 & 2 & 3 & 4 \\\\\\hline a_n & -4 & x & y & z \\\\\\hline\\end{array}$$

\\)

\\(x = \\)
\\(y = \\)
\\(z = \\)

Explanation:

Identify the sequence parameters

Using the Arithmetic Sequences and Sequence Notation knowledge points

$$
LATEXBLOCK0
$$

Calculate the missing terms

Using the Arithmetic Sequences knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 1

What is the common difference of the arithmetic sequence?
\(d =\) <blank>7</blank>

Question 2

What is the first term of the arithmetic sequence?
<blank>-4</blank>

Question 3

What values of \(x\), \(y\), and \(z\) complete the table for the arithmetic sequence?
\(x =\) <blank>3</blank>
\(y =\) <blank>10</blank>
\(z =\) <blank>17</blank>