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
azamat
2 years ago
11

Geometric Series assistance

Mathematics
1 answer:
Levart [38]2 years ago
5 0

we have been asked to find the sum of the series

\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}

As we know that a geometric series has a constant ratio "r" and it is defined as

r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}

The first term of the series is a_1=\left(\frac{1}{3}\right)^{1-1}=1

Geometric series sum formula is

S_n=a_1\frac{1-r^n}{1-r}

Plugin the values we get

S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}

On simplification we get

S_5=\frac{121}{81}

Hence the sum of the given series is \frac{121}{81}

You might be interested in
Help me with part e please.​
Andru [333]
I believe it would be 98
3 0
2 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 68 km to miles.
ArbitrLikvidat [17]

Answer:

42 miles

Step-by-step explanation:

8 0
2 years ago
Write a story problem that would model the sum of the arrows in the number diagram below. The first part of your story should re
dalvyx [7]
ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana
3 0
3 years ago
The distribution of salaries of professional basketball players is skewed to the right. Which measure of central tendency would
True [87]

Answer:

Median

mean>median

Step-by-step explanation:

When the data is skewed to right the suitable average is median. Median is suitable because it is less effected by extreme values and thus locate the center of the distribution perfectly. Here the salaries of basket players are skewed to right and the best measure of central tendency to measure the center of distribution is median.

When the frequency distribution is rightly skewed then the relationship of mean and median is that mean is greater than median that is Mean>median.

Hence when the distribution is skewed to right the best choice to measure the center of distribution is median and when the data is skewed to right mean is greater than median.

7 0
3 years ago
Rachel withdraws ​$18 from the bank account once each day for six days. What integer represents the change in the amount in the​
Margarita [4]

Answer:

-108

108

Step-by-step explanation:

Since it is withdrawing, we are taking away -$18 every day for 6 days.

(-18)*6 = -108

Since it is deposits, we are adding to the amount in her account, +$18 for 6 days.

18*6 = 108

The difference is that one is taking away and one is adding each day, resulting in negative or positive change.

4 0
3 years ago
Other questions:
  • The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard
    8·1 answer
  • Hurrry i need help nowwwwwwwwwwwwwwwww
    11·2 answers
  • The length of a bicycle track is increased from 1200m to 1600m. Find the percentage increase.
    14·1 answer
  • Which angle is coterminal with a 635° angle?
    8·2 answers
  • Solve the equation:<br> (-11) + [9] =
    10·2 answers
  • If you intend to borrow 20 percent of the $174,500 you need to start a business, how much
    13·1 answer
  • I need step by step solution please thank you ​
    6·2 answers
  • A rectangular garden is 23 feet long and 11 feet wide. A brick walk way with uniform width is going to be constructed around the
    10·2 answers
  • (-8, 3)<br> (-3, -4.5)<br> The graph of the linear function What is the zero of g?
    5·1 answer
  • Find the scale factor that was used to create the dilaton below
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!