SOLUTION: A media company wishes to keep misinformation from spreading. Suppose a rumour increase its numbers by 5% per week. Let Rn be the number of copies of the rumour at the end of week
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-> SOLUTION: A media company wishes to keep misinformation from spreading. Suppose a rumour increase its numbers by 5% per week. Let Rn be the number of copies of the rumour at the end of week
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Question 1173992: A media company wishes to keep misinformation from spreading. Suppose a rumour increase its numbers by 5% per week. Let Rn be the number of copies of the rumour at the end of week n. Also, assume that a targeted education initiative has the ability to remove Q copies of the rumour just prior to the end of each week.
(a) Assume that the targeted educational initiative is implemented. Relate the number of copies of the rumour from the end of one week to the end of the next week by finding an equation for Rn+1 in terms of Rn.
(b) Find Rn if R0=100 and Q=4.
HINT: Use the explicit solution for a linear recursive equation, for example, as shown in video 2.E5.
(c) Is this education initiative sufficient to cause extinction of the rumour by week 10? Why? If not, what value for Q would be needed to achieve this? Answer by ikleyn(52817) (Show Source):
As a conscionable and accurate student / visitor, you must provide "the video"
(at least, in order for your post makes sense . . . )
And I have no any doubts that you will make it soon (!) . . .
We, the tutors, are looking forward to get it from you soon (!)
............
In reality, it can be done in seconds, using Excel as part of the MS Office.
The formula is = .
The results are shown in the Table below
T A B L E
n
number copies
1 100
2 101
3 101
4 101
5 101
6 101
7 101
8 101
9 101
10 101
11 101
12 101
13 101
14 101
15 101
16 101
17 101
18 101
19 101
20 101
21 101
22 101
23 101
24 101
25 101
26 101
27 101
28 101
29 101
30 101
31 101
32 101
33 101
34 101
35 101
36 101
37 101
38 101
39 101
40 101
41 101
42 101
43 101
44 101
45 101
46 101
47 101
48 101
49 101
50 101
51 101
52 101
53 101
54 101
55 101
56 101
57 101
58 101
59 101
60 101
61 101
62 101
63 101
64 101
65 101
66 101
67 101
68 101
69 101
70 101
71 101
72 101
73 101
74 101
75 101
76 101
77 101
78 101
79 101
80 101
81 101
82 101
83 101
84 101
85 101
86 101
87 101
88 101
89 101
90 101
91 101
92 101
93 101
94 101
95 101
96 101
97 101
98 101
99 101
100 101
and clearly show that the number of copies becomes equal to 101 next week and do not change NEVER more.
It is also clear, after making two-three lines calculations, that it should be so - even without using Excel.
Thus in this case I do not need any video and any "hint"/instructions from you to complete an assignment.
Anyone and everybody can make it in a minute, if will take a labor for himself (or herself) to make one- two steps ahead
on his or her own.
