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
Nady [450]
4 years ago
13

What is the sum of the infinite geometric series? -3-3/2-3/4-3/8-3/16-....

Mathematics
2 answers:
Natali5045456 [20]4 years ago
6 0

Answer:

- 6

Step-by-step explanation:

The sum to infinity of a geometric series is calculated as

S( infinity ) = \frac{a}{1-r}

where a is the first term and r the common ratio

Here a = - 3 and r = - \frac{3}{2} ÷ - 3 = \frac{1}{2}, thus

S( infinity ) = \frac{-3}{1-\frac{1}{2} } = \frac{-3}{\frac{1}{2} } = - 6

larisa86 [58]4 years ago
3 0

Answer:

s infinite =-6

Step-by-step explanation:

You might be interested in
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos pre
Nina [5.8K]

Answer:

Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.

Step-by-step explanation:

Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:

  • 50 L * 10/100 = 5 L

Ahora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:

La suma de ambos preparados tiene que ser 50 L:

1.    x + y = 50

La suma del jugo natural tiene que ser 5:

2.   x*5/100 + y*25/100 = 5

Por lo que tenemos <em>un sistema de dos ecuaciones y dos incognitas</em>.

Expresamos x en términos de y:

  • x + y = 50
  • x = 50 - y

Reemplazamos x en la segunda ecuación:

  • (50-y)*5/100 + y*25/100 = 5

Y despejamos <em>y</em>:

  • 2.5 - 0.05y + 0.25y = 5
  • 0.20y = 2.5
  • y = 12.5

Usando ese valor de y, calculamos x:

  • x + 12.5 = 50
  • x = 37.5

7 0
3 years ago
Nicole works at a flower shop.
Step2247 [10]

Answer:4 vases

Step-by-step explanation:

3 0
3 years ago
Share £747 in the ratio 2:7 between tom and Ben. Tom will get <br> Ben will get
Olenka [21]
Add the ratio:
2+7=9
747 divided by 9 = 83

Tom -
2x83 = £166

Ben -
7x83= £581
7 0
3 years ago
Find the sum of the arithmetic series given a1
Kay [80]
It’s B trust me I know
5 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2 l plus 2 w equals 16
iragen [17]

Answer:

8

Step-by-step explanation:

2l+2w=16

Step 1: Add -2w to both sides.

2l+2w+−2w=16+−2w

2l=−2w+16

Step 2: Divide both sides by 2.

2l

2

=

−2w+16

2

l=−w+8

7 0
3 years ago
Read 2 more answers
Other questions:
  • A translation moves point V(-2,3) to V’(2,7). Which are true statements about the translation?
    13·1 answer
  • Find the slope of the line graphed. A)1/2 B)1 C)2 D)4
    9·2 answers
  • 6 times a number is 16 less than the square of that number. Find the negative solution.
    13·1 answer
  • 2 times 5 times 10 to the 5th power
    9·2 answers
  • __<br> Is 0.14 (with the 14 repeating) rational or irrational?
    7·2 answers
  • Sally is creating a rectangular quilt and the length is equal to five inches less then the width. The perimeter is 30 inches. Wh
    9·1 answer
  • This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
    13·1 answer
  • Is an egg a fruit or a vegetable?
    8·1 answer
  • 2.
    9·2 answers
  • 1 Jason is pulling a box across the room. He is pulling with a force of 29 newtons and his arm is making a 37 angle with the hor
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!