What is the common difference in the following arithmetic sequence? 2/3, 1/6, -1/3,-5/

Common difference

Step-by-step explanation:

We have general form of arithmetic sequence

            a, a+d, a+2d, a+3d ...................

Here it is given that the sequence is

            2/3, 1/6, -1/3,-5/6....

Comparing we will get

So common difference

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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