Describe the similarities and differences between arithmetic and geometric sequences.

Arithmetic  sequence is a sequence with the difference between two consecutive terms constant. The difference is known as the common difference.

Arthmetic Sequence: 2,4,6,8,10,12. The common difference is 2. A pattern of numbers that increase or decrease at a constant amount.

A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called common ratio.

Geometric Sequence: 2,10,50, 250.                       2x5=10   10x5=50 and so on. R=5

A geometric sequence is one where to get from one term to the next you multiply by the same number each time. This number is called the common ration, R.

I hope this helps :)

yes

yes yes yes

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3