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Black_prince [1.1K]
3 years ago
9

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values,

how many terms are in this geometric series
Mathematics
2 answers:
vladimir1956 [14]3 years ago
8 0

Answer:

There are 5 terms in the series.

Step-by-step explanation:

S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\

Take logs to get n = 5

aleksley [76]3 years ago
6 0

Answer:

5

Step-by-step explanation:

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Answer:

0.1587

Step-by-step explanation:

Let X be the commuting time for the student. We know that X\sim N(30, (5)^2). Then, the normal probability density function for the random variable X is given by

f(x) = \frac{1}{\sqrt{2\pi(5)^{2}}}\exp[-\frac{(x-\mu)^{2}}{2(5)^{2}}]. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,

 

P(X>35) = \int\limits_{35}^{\infty}f(x)dx = 0.1587

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