What is the sum of the sequence?

−32+(−34)+(−36)+...+(−778)+(−780)=< br />
Is it -152250 I need a good explanation!!!

The sum of the sequence is -152250.

Step-by-step explanation:

Given : Sequence

To find : What is the sum of the sequence?

Solution :

The given sequence is in Arithmetic sequence as the difference between them is same.

Where, the first term is a=-32

The common difference is

The last term is l=-780.

The last term formula is

The sum of n terms formula is

Therefore, the sum of the sequence is -152250.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

hdjd

step-by-step explanation: