1. For each sequence, determine whether it could be geometric or arithmetic. Next, match each sequence with one of the definitions. Note that only the
part of the definition showing the relationship between the current term
and the previous term is given so as not to give away the solutions.
a. 6, 12, 18, 24
A. a(n) = 7 • a(n − 1)
B. b(n) = 1/2• b(n – 1)
b. 2, 14, 98, 686
C. c(n) = c(n − 1) + 6
c. 160, 80, 40, 20

you never say the total so we cant find the percentage used for petrol

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10