Question

the table shows an arithmetic sequence.
\

$$\begin{array}{|c|c|c|c|c|c|} \\hline n & 1 & 2 & 3 & 4 & 5 \\\\ \\hline a_n & 36 & 52 & 68 & ? & 100 \\\\ \\hline \\end{array}$$

how could you find the missing value in the table? check all that apply.

• evaluate the explicit rule for \\(n = 4\\).
• add 36 to the third term of the sequence.
• subtract 16 from the fifth term of the sequence.

what is the explicit rule for the sequence?

• \\(a_n = -16 + (n - 1)36\\)
• \\(a_n = 16 + (n - 1)36\\)
• \\(a_n = 36 + (n - 1)(-16)\\)
• \\(a_n = 36 + (n - 1)16\\)

what is the fourth term of the arithmetic sequence?

Explanation:

Identify the first term and common difference

Using the Arithmetic Sequences knowledge point

$$
LATEXBLOCK0
$$

Determine the explicit rule

Using the Arithmetic Sequence Explicit Formula knowledge point

$$
LATEXBLOCK1
$$

Calculate the fourth term

Using the Arithmetic Sequence Explicit Formula knowledge point

$$
LATEXBLOCK2
$$

Answer:

What is the fourth term of the arithmetic sequence? <blank>84</blank>