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
ale4655 [162]
1 year ago
9

Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

Mathematics
1 answer:
sammy [17]1 year ago
7 0

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

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

This gives

S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}

Evaluate

S_n = \frac{1}{2} * \frac{33)}{3}

Evaluate

S_n =\frac{11}{2}

Hence, the sum of the first five terms is 11/2

Read more about series at:

brainly.com/question/11346378

#SPJ1

You might be interested in
Please help me solve this word problem please
leonid [27]

Answer:

it is 69

Step-by-step explanation:

do calculations

8 0
3 years ago
Find the equation of a line with a slope 3 that includes the point (0,5)
Genrish500 [490]

Answer:

B

Step-by-step explanation:

We want to find the equation of a line with a slope of 3 that includes the point (0, 5).

We can use the slope-intercept form, given by:

y=mx+b

Where m is the slope and b is the y-intercept.

Notice that the given point (0, 5) is already the y-intercept. So, b = 5.

By substitution, we acquire:

y=3x+5

Hence, our answer is B.

3 0
3 years ago
Read 2 more answers
Consider the function. What is the y-intercept of f–1(x)? –16 –12
Mekhanik [1.2K]
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write clear questions in order to get good and exact answers. Here, I'll assume the function as:

f(x)=x^2+2x-16

The y-intercept of a function is the point at which the graph of the function touches the y-axis. This occurs when we set x=0. In other words, we define the y-intercept (let's call it b as:

b=f(0)

Setting x=0 in our function we have:

b=f(0)=(0)^2+2(0)-16 \\ \\ \boxed{b=f(0)=-16}

So <em>in this context the y-intercept is -16</em>

7 0
3 years ago
Create an equivalent system of equations using the sum of the system and the first equation. x + 4y = 8 4x + y = 2
qaws [65]

Answer:

Equivalent systems of equations review

Step-by-step explanation:

We're given two systems of equations and asked if they're equivalent.

x + 4y = 8 (1)

4x + y = 2 (2)

Interestingly, if we sum the equations in System A, we get:

x + 4y = 8 \\4x + y = 2 \\

5x+5y=10

Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:

5x+5y=10

4x + y = 2

This is System B, which means that System A is equivalent to System B.

5 0
3 years ago
How wide is the house?
klemol [59]

Answer:

35.35ft

Step-by-step explanation:

f

7 0
3 years ago
Other questions:
  • What is the answer to 6x+15=3x+8
    8·1 answer
  • Margarita is hired by an accounting firm at a salary of $60,000 per year. Three years later her annual salary has increased to $
    11·1 answer
  • Which are the solutions of the quadratic equation?
    10·1 answer
  • What is 108 square root to the nearest tenth
    8·2 answers
  • 6. How do u find the answer? I know the answer ( it's 208) but how u get it
    14·2 answers
  • Select 2 of the following
    15·1 answer
  • Dillard's checking account charges a $13.25 monthly service fee and a $0.24 per check fee. if Dillard writes 18 check per month,
    9·1 answer
  • PLEASE HELP!!! URGENT!!!​
    10·2 answers
  • 9. Which equation could be used to find the area of the shaded triangle below?
    6·1 answer
  • Fifty Points and Brainliest!<br> Select all that have a proportional relationship:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!