The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
and


The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
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Answer:
You didn't post image, but function is linear when its graph isn't curve line.
I would say the correct answer choice would be amswer choice D
ANSWER
The value of x is,

EXPLANATION
We were given that the opposite angles of a parallelogram are

and

.
The opposite angles of a parallelogram are equal.
We can write the equation below in x and use to find the value of x.

We group like terms to obtain,

This implies that,

We divide both sides of the equation by 2 to obtain,