What is the nth term of the sequence -4 -9 -14 -19

-44

Step-by-step explanation:

first term is -4, second -9, third -14, fourth -19, etc.

there is constant difference (-5) between each two neighbor terms

you can use calculator by pushing the following buttons: -4-5

the method is:

1) insert first term (-4)

2) insert a difference (-5)

3) push the "=" button 1 time less than the desired term number

So, if you must find 9th term, you push "=" button 8 times

after pushing buttons -4-5 you get a result -44 on a calc

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

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: