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Mariulka [41]
3 years ago
8

Find r for the geometric series s5=244 a1=4 and a5=324

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

an = a1·r^(n-1) . . . . . . general term of a geometric sequence

a5 = 324 = 4·r(5-1) . . . specifically, the 5th term

81 = r^4 . . . . . . . . . . . divide by 4

Since the sum of 5 terms is less than the 5th term, the value of r must be negative:

r=-\sqrt[4]{81}=-3

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a man is four times as old as his son in five years time he will be three times as old as his son what is the present age of the
Oksi-84 [34.3K]

I would start by setting up a chart like I did below.

Label one column age now and the other age in 5 years.

Since we don't know the son's age we use x.

We do know that the man's age is 4 times the son's age.

So the man's age will be 4x.

In the age in 5 year column, we add 5 to their current ages.

Now set up our equation.

Since it says "in five years" we use information in second column.

In 5 years time, he, "4x + 5", will be, equals,

3 times as old as his son, "3(x + 5)".

So we have 4x + 5 = 3(x + 5).

Solving from here, we find that x = 10.

So the son is 10 and the man is 4 times his age or 40.

4 0
3 years ago
Find the proportion of male college students whose height is greater than 73 inches.
siniylev [52]
Much of this question is missing. We need more info
7 0
3 years ago
You are randomly selecting 3 cans of regular and diet cola, but assume that there are 6 cans of regular cola and 7 cans of diet
gayaneshka [121]

Answer:0.367

Step-by-step explanation:

Given

There are 6 cans of regular and 7 cans of diet cola

number of ways of selecting 2 regular colas and 1 can of diet cola is

\Rightarrow ^6C_2\times ^7C_1

The total no of ways of selecting 3 items out of 13 items is

\Rightarrow ^{13}C_3

Probability is

\Rightarrow P=\dfrac{^6C_2\times ^7C_1}{^{13}C_3}=\dfrac{105}{286}\\\Rightarrow P=0.367

6 0
2 years ago
Under a dilation with a scale factor of 4/5 a 10-inch segment becomes a ___ -inch segment.
julsineya [31]

Answer:

8 inch

Step-by-step explanation:

dilation actor = 4/5

Scale dilation is used to change the dimensions of the line segment or anuy measurement in length.

So, 10 inch segment = \frac{4}{5}\times 10=8 inch

thus, the 10 inch segment is equal to 8 inch on the scale.

5 0
3 years ago
The total cost to rent a row boat is $14 times the number of hours the boat is used. Write an equation to model this situation i
romanna [79]
A
cost = 14 • number of hours
5 0
3 years ago
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