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carterjpowell77
16.01.2021 •
Mathematics
Need help with explicit rule. Please help.
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Ответ:
An = 74(1.07)^n-1
Step-by-step explanation:
Here, we want to get the explicit rule
We are told that the sequence is geometric
At hour 4, we have that this is the 4th term
With conformance to the rule of geometric progression;
T4 = ar^3
90 = ar^3
for the 6th hour, this is the sixth term
103 = ar^5
dividing the 6th term by the 4th term, we have that
103/90 = ar^5/ar^3
103/90 = r^2
r = 1.07
To get a, we simply use any of the terms to substitute
using;
ar^3 = 90
a = 90/r^3
a = 90/1.07^3
a = 73.5 which is approximately 74
So the explicit rule is as follows;
An = 74(1.07)^n-1
Ответ:
1/6 because 1 divided by 2 is 0.5 and 2 divided by 3 is about 0.6666 and if you add it together its 1/6
hope this helped!