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rsnyder
06.11.2020 •
Mathematics
1. At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of
75 and a standard deviation of 12. The scores on the calculus final are also approximately normally
distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the chemistry final and
84 on the calculus final. Relative to the students in each respective class, in which subject did this student do
better?
The student did better in chemistry
B) The student did better in calculus.
C) The student did equally well in each course,
D
There is no basis for comparison, since the subjects are different from each other and are in different
departments
E There is not enough information for comparison, because the number of students in each class is not known
Solved
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Ответ:
This is a geometry sequence (I.e each term is found by multiplying the same value to the previous term).
T1 = 4
T2 = -12 = T1 X (-3) = 4 X (-3)
T3 = 36 = T2 X (-3) = 4 X (-3)^2
T4 = 108 = T3 X (-3) = 4 X (-3)^3
The general (explicit) formula for the n-th term of this sequence is:
S(n) = 4 X (-3)^(n-1)