Consider the sequence 7, 3, −1, −5,−9, … .

What is the explicit rule for the sequence?

Enter your answer in the box. Enter the simplified form of the rule.

an=

Step-by-step explanation:

The sequence has a common difference of 3-7 = -4 and a first term of 7. Using the explicit formula ...

  an = a1 +d(n -1)

we can fill in those values to find ...

  an = 7 -4(n -1)

  an = 11 -4n

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

d. vertex

step-by-step explanation: