PC Examine the sequence of numbers below.
26, 22, 18, 14, 10, 6
Which algebraic expression represents this sequence? (the nth value)
O A. -4n + 26
OB. -4n + 30
O C. 4n + 22
o D. 26n - 4

Option (B)

Step-by-step explanation:

Given sequence of the numbers is 26, 22, 18, 14, 10, 6

Since difference in every successive term is,

d = 22 - 26 = -4

d = 18 - 22 = -4

Therefore, there is a common difference of (-4).

Hence the given sequence is an arithmetic sequence.

First term of the sequence is 'a' = 26

nth term of the given sequence will be,

    = 26 - 4n + 4

    = 30 - 4n

    = -4n + 30

Therefore, nth term of the given arithmetic sequence is,

-4n + 30

Option (B) will be the answer.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!