What is the 3rd term in this recursive rule sequence: f(1) = 30 and f(n) = f(n-1) - 12

n = 1

f(1) = 2

f(n) = 2 f(n-1) + 1

n = 2

f(2) = 2 f(2 - 1) + 1 = 2 f(1) + 1 = 2 ∙ 2 + 1 = 4 + 1 = 5

n = 3

f(3) = 2 f(3 - 1) + 1 = 2 f(2) + 1 = 2 ∙ 5 + 1 = 10 + 1 = 11

-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

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175