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
kakasveta [241]
3 years ago
7

If [infinity]∑n=0cn9n is convergent, does it follow that the following series are convergent? (a) [infinity]∑n=0cn(−3)n

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Given: The series ∑cₙ9^n is convergent

To find: The series ∑cₙ(-3)^n is convergent or not.

Solution: If the radius of convergence R the we can conclude that R≥4

So, the series will converge as -3<9.

You might be interested in
Carli can walk 40 dogs in 8 hours. How many dogs can she walk in 12 hours?
Archy [21]

Answer:

60 dogs

Step-by-step explanation:

40/8 = 5 dogs per hour

12 x 5 = 60 dogs in 12 hours

7 0
3 years ago
Which of the following is true about a parallelogram?
insens350 [35]

Answer:

The diagonals bisect each other.

Step-by-step explanation:

Not all diagonals of a parallelogram are equal.

The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.

The diagonals of a parallelogram bisect each other.

The diagonals of a parallelogram are only perpendicular when it is a square.

8 0
2 years ago
“write the equation for the line in slope-intercept form”
lapo4ka [179]

Answer:

The equation is 4x + 3 ....

6 0
2 years ago
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
nalin [4]

Answer:

376.991 cm²

Step-by-step explanation:

SA_{cylinder} = 2\pi r^{2}  + 2\pi rh

Surface Area = 2π(5²) + 2π(5)(7)

                      = 50π + 70π

                      = 120π

                      = 376.9911184... ≈ 376.991

<h2>Derive Surface Area of A Cylinder</h2>

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

5 0
2 years ago
Simplify [3(4-2)]x(16-4x3)PLS HURRY!!!!!!!!!
Lapatulllka [165]

Answer:6x*4

Step-by-step explanation:

(12-6)x(16-12)

6x*4

5 0
2 years ago
Read 2 more answers
Other questions:
  • 100 POINTS BRAINLIEST QUESTION ATTACHED!!
    15·2 answers
  • PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!! EXTRA POINTS!!!<br><br> Find the value of x.
    6·2 answers
  • Solve system graphically<br> y = 3x - 3<br> y = -x + 1
    13·1 answer
  • (x-4) + 34 = -4x I need this answer
    14·1 answer
  • A company has found that the number of items sold, x, depends upon
    6·1 answer
  • Mary is making a poster to take with her to her favorite band's concert. The poster she has to decorate is 113 feet by 214 feet.
    5·1 answer
  • A number increase by three is two more twice the number.find the number.​
    9·1 answer
  • What is the area of the real bedroom?
    9·2 answers
  • How many mathematicians discovered the Law of Sines?
    13·1 answer
  • What is the greatest multiple of 99 that is less than 0?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!