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
quester [9]
3 years ago
6

What is the sum of ten terms of an infinite geometric series if the first term is 8 and the ratio is 1/2

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

We use the formula:

S 10 = 8 · [(1/2)^9 - 1] / (1/2 - 1 );

Then, S 10 = 8 · ( 1/512 - 1 ) / ( 1/2 - 1 );

S 10 = 8 · ( - 511 / 512 ) / (-1 / 2 );

S 10 = ( - 511 / 64 ) · ( - 2 );

S 10 = + 511 / 32;

S 10 = 15.96;

Step-by-step explanation:


You might be interested in
Find the length of XY
Pachacha [2.7K]

Since this is a right triangle, you can use the pythagorean theorem, leg^2+leg^2=hypotenuse^2, to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:

15^2+17^2=XY^2\\ 225+289=XY^2\\ 514=XY^2\\ \sqrt{514}=XY

In short, XY is √514, or 22.67 rounded to the hundreths, units long.

7 0
2 years ago
Read 2 more answers
Please help me and explain! (1 and 2)​
Ad libitum [116K]

1 is 384cm you multiply the 96 by 4 (because there is 96 4 times)

If I’m incorrect I’m sorry

8 0
2 years ago
Jordan’s class has 30 boys. If the students in his class, 60% are girls. How many girls are in Jonathan’s class?
aev [14]

There are 45 girls in Jonathan's class.

4 0
3 years ago
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui
aleksklad [387]

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

3 0
3 years ago
Which of the following are ways whole numbers and rational numbers are different? Select all that apply. ︎whole numbers are a su
mihalych1998 [28]

Answer:

asd

Step-by-step explanation:

asd

8 0
3 years ago
Other questions:
  • How many 2-inch by 3-inch by 8-inch bricks will you need to build a (uniformly wide) brick walk with the shape shown in the figu
    7·1 answer
  • Suppose the linear regression line y = 4.125x - 43.751 predicts a lemonade stand's profits based on the number of cups sold. If
    14·1 answer
  • Y=2x + 1 <br> Y= -5x - 13
    15·2 answers
  • Irrational number between 7.7 and 7.9
    9·1 answer
  • One factor of f(x)=4x^3-4x^2-16x+16 is (x – 2). What are all the roots of the function? Use the Remainder Theorem.
    6·1 answer
  • Could someone please help me on this question? I’m having a proper Brain fart right now ☹️
    10·1 answer
  • Could anyone tell me the answer of this question?<br>Pls answer fast​
    14·1 answer
  • What is the range of the cluster in the scatter plot? Between 5 m and 7 m Between 1 m and 6 m Between 1 s and 9 s Between 1 s an
    10·1 answer
  • Emani has $10.00 to spend at the grocery store. So far, in her basket, she has 6 cans of soup that cost $0.47 each and a gallon
    15·1 answer
  • Peyton has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!