You have the following data points which belong to a function of the form , where can be positive or negative. 18.7 33.6 37.7
2.00 4.00 5.00
You wish to determine the value of the constant, , and to do so you will construct a linear plot. What will you plot against what?

-axis label:

-axis label:

From the values of and in the table above, calculate the values of the three corresponding data points. Click on the graph below, and use the "Freeform Curves" tool to plot the data. Line segments will automatically connect the points.

Enter Solution

What is the numerical value of the constant, ?

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the radius is 2 times the diameter.

step-by-step explanation:

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6: 4= 3/2

18: 8= 9/4

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