Find the 7th term in the sequence -10,-6,-2,

we are adding 4 each time

10+4 = -6

-6 + 4 = -2

-2+4 = 2

2+4 =6

6+4 = 10

10+4 = 14

14+ 4=18

The 7th term is 18

= 14

This is an arithmetic sequence with n th term

= + (n - 1)d

where d is the common difference and the fist term

d = 2 - (- 2) = - 2 - (- 6) = - 6 - (- 10) = 4 and = - 10, hence

= - 10 + (6 × 4 ) = - 10 + 24 = 14

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

source:

$9.41

step-by-step explanation: