Find the first six terms of the sequence.

a1 = -4, an = an-1 + 7

first six terms are -4, 3, 10, 17, 24 ,31

Step-by-step explanation:

The given first term and recurrence relation is

we need to find first six term of this recurrence relation

put n=2 in

since,

similarly,

for n=3

since,

For n=4

since,

For n=5

since,

For n=6

since,

Hence, first six terms are -4, 3, 10, 17, 24 ,31

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:

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45