A piece of paper has an area of 81cm. A strip is cut off that is 1/3 the original area. From that strip is cut off that is 1/3 the area of the first, and so on. Here is a graph and table representing sequence k, where k(n) is the area in square centimeters of the strip of paper after n cuts. A. Is the sequence geometric or arithmetic? Explain how you know
B. Write a recursive rule for the sequence. Be sure to include f(n) and f(n-1) in the rule
C. What type of “n” value do you notice will work for the sequence? Hint: use the graph
D. What type of “n” value do you notice will not work for the sequence? Hint: use the graph

are those options or what

Step-by-step explanation:

you can already tell its geometric because the graph line is curved and the table is multiplying by 1/3.

recursive:

f(0)=81, f(n)=f(n-1)×1/3 for n>1

decimal values probably won't work because of the scenario, neither will negative numbers.

my answer got deleted but it's a

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.