Write arithmetic sequence with recursive formula numbers 94,81,68, 55

f(n) = f(n - 1) - 13

Steps:

The given sequence is 94, 81, 68, 55, …

We can observe that the common difference between two consecitive terms is 13 since 94 - 81 = 13

Since f(1) = 94, and the form of a recursive formula is f(n) = f(n - 1) + d, we just have to plug in d = -13 in order to get f(n) = f(n - 1) - 13.

answer: 32.68

step-by-step explanation:

x=2

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3