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
larisa [96]
3 years ago
5

Complete the statements about the series

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.

This means that the value of k will go from 0 to 4, then all the numbers in the sum are:

(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4

So we have 5 terms in our series.

b) to see the sign in each term, we must solve the powers, remember that:

(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:

(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4

= 1 -1/2 + 1/4 - 1/8 + 1/16.

So the sign in each term of the series alternates.

You might be interested in
There are 80 people waiting to tour the science museum. The tour guide takes 4 groups of 16 people each. The remaining people wi
Anna11 [10]

Answer:

16 people

Step-by-step explanation:

Given that :

Number of people to tour = 80

Number per group = 16

Number of groups = 4

Total number of people who make up the entire groups :

Number per group * number of groups

16 * 4 = 64

The number of people in the last tour group :

80 - 64

= 16 people

7 0
3 years ago
Please help me. will mark brainliest. what is the answer?
VARVARA [1.3K]

Answer:

A ) y=-1/2x+2

Step-by-step explanation:

since the equation is y=2x+4 and the points are (-2,3) and the line is perpendicular to that equation

y=-1/2x+b

enter the point (-2,3)

3=1+b

b=2

so

y=-1/2x+2

3 0
3 years ago
Solve the compound inequality. Graph the solution on the number line. 4x-2>14 or 2x+5 ≤5
Deffense [45]
………………………………………………………………..

3 0
2 years ago
How do you add integers with the same sign? <br><br><br><br>PLEASE I NEED IT NOW AND THANK YOU
dedylja [7]
When you add integers, you keep the sign on the sum.

For example:
-9 + -9 = -18 (kept the sign)
9 + 9 = 18 (kept the "sign")
3 0
2 years ago
What is the explicit fomula for this sequence
tigry1 [53]

Answer:

C

Step-by-step explanation:

2(5)^4-1 = 2(5)^3

2*125 = 250 and 250 is the 4th term

7 0
1 year ago
Other questions:
  • When a pair of dice is rolled, what is the probability that the sum of the dice is 5, given that the outcome is not 6? The proba
    10·1 answer
  • If the wages of 12 workers for 5 days are $7500, find the wages of 17 workers for 6 days.
    7·2 answers
  • Express 25 minutes as a fraction of 2 hours in its simplest form
    7·2 answers
  • The area of a square garden is 1/81 km2. How long is each side
    10·1 answer
  • Michael, a student, is writing an editorial for the school newspaper to encourage the school to adopt a proposed plan for recycl
    6·1 answer
  • 5w - w/x when w=6 and x =2
    15·1 answer
  • I need help with this​
    15·1 answer
  • Dedededsdedededeedeededs
    11·2 answers
  • Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the e
    8·1 answer
  • The table shows the time a patient spends at the dentist and the amount of the bill. A 2-column table with 4 rows. The first col
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!