1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Helpppp pleaseeeee and could you put an explenation??? pleaseeee
Illusion [34]

Answer:

Step-by-step explanation:

The angles would be supplementary

45 + 5x + 35 = 180

5x + 80 = 180

5x = 100

x = 20

To find out why they are supplementary, refer to the transversal below

∠3 = ∠7 (corresponding angles)

∠8 = 180 - ∠7 (supplementary angles)

And since ∠7 = ∠3...

∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)

4 0
3 years ago
Find the area of the circle to the nearest whole number, if necessary!
astra-53 [7]

Answer:

The circle has an area of about 1385 square mm.

Step-by-step explanation:

Let's recall that circles have an area that can be found with the following formula:

A=\pi r^{2}

where r is the radius of the circle.

Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

A=\pi (21)^2\\A=441\pi \\A=1385.44236...

So, to the nearest whole number, the area of the circle is 1385 square mm.

5 0
2 years ago
Fernando has a bag of beads in five different colors: purple, blue, green, green, orange, and gray. The table below shows the re
zavuch27 [327]

Answer: 6

Step-by-step explanation:

6 0
3 years ago
The pair of points 6, Y and 10, -1 light on a line with a slope of 1/4 what is the value of Y
andrezito [222]

\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{y})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-y}{10-6}=\stackrel{\stackrel{given}{\downarrow }}{\cfrac{1}{4}}\implies \cfrac{-1-y}{4}=\cfrac{1}{4} \\\\\\ 4(-1-y)=4\implies -1-y=\cfrac{4}{4}\implies -1-y=1\implies -2=y

3 0
3 years ago
Shapes?<br> what shape is this? plz help
son4ous [18]

Answer:

quadrilateral

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • When I think of a number, double it, then add seven, I get 25. what number did I think of?
    14·2 answers
  • I NEED TO GET THIS DONE N O W
    9·1 answer
  • How do you write 20% as a decimal
    15·2 answers
  • A triangle has side lengths 32 cm, 32 cm, and 50 cm.
    15·2 answers
  • The planet Neptune orbits the Sun. Its orbital radius is 30.130.1 astronomical units (\text{AU})(AU).
    9·2 answers
  • What is the formulae for the Surface Area of a cylinder?
    8·1 answer
  • A man purchased an item for 4,400 that was marked up by 10%. what was the original price​
    15·1 answer
  • Which fraction is less?<br> 2/5 or 1/6
    11·2 answers
  • Diana’s cat weighs 8 ½ pounds. There are 16 ounces in one pound. How much does Diana’s cat weigh in ounces?
    6·1 answer
  • On a coordinate plane, how are the locations of the points (-7 , -2) and (7 , 2) related?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!