Just the matching questions please :) Match each sequence with a function that generates it.
A f(n) = 3n, n 21 and n is an integer. E (n) = n²+2, n 21 and n is an integer.

B f(n) = 2n(n+1), n 21 and n is an F. 1) = 48 and f(n) = 5 A(n-1), n 22 and
integer.

n is an integer.
CA(n) = 2(n +2), n 0 and n is an integer. GK1) = 48 and f(n) = 2f(n-1), n 22 and
n is an integer.
n-1
D f(n) = ,n2 1 and n is an integer.
H fin) =
n+Tun 2 I and n is an integer.
1. 48, 24, 12, 6, 3, ...
I
n
72
2. 3, 6, 11, 18, 27, ...

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

320ft

step-by-step explanation:

120 divided by 3 equals 40

40 times 4=160

160 times 2=320

you have to find the same variables -3n - 5n so this would be -3n +(-5n) which equals -9n