The 3rd term of a geometric sequence is -1/3 and the 8th term is 81. what is the 11th term?

Step-by-step explanation:

That is :

................. equation 1

Also

that is

................. equation 2

divide equation 2 by equation 1 , that is

x

find the fifth root of both sides

substitute , into equation 1 to find a , that is

multiply through by 3

To find the 11th term , the formula for the 11th term is given as :

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: