Use the infinite series below to answer the questions. X[infinity] n=1 1 n − 1 n + 3

1. Find S4 and S5.
2. Provide a simplified expression for the nth partial sum SN .
3. Evaluate lim N→[infinity] SN .
4. Based on your result from part(c) does the infinite series converge or diverge? If the series converges, provide its sum.

step-by-step explanation:

i need to answer questions so i dont know but i think its the first one because it goes up but a consent rate

(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

i believe that the slope of the line is -5

step-by-step explanation:

what? that isnt a question

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