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
UNO [17]
3 years ago
7

98. What is the sum of the first 27 terms in the arithmetic series 25 +19+13 + ...?​

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0

Answer:

sum of the first 27 terms = -1431

Step-by-step explanation:

<h3>arithmetic series sum of the first n terms formula:</h3>

s_{n}  =  \frac{n}{2}  (2a + (n - 1)d)

n = 27 terms

first term, a = 25

common difference, d = 19 - 25 = -6

substitute the values into the formula

s_{27} =  \frac{27}{2} (2(25) + (27 - 1)( - 6))

s_{27} = 13.5(50 + 26( - 6))

s_{27} = 13.5(50 - 156)

s_{27} = 13.5( - 106)

s_{27}  =  - 1431

You might be interested in
What is the formula for margin of error?The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle
Leya [2.2K]

Answer:

d

Step-by-step explanation:

7 0
2 years ago
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 3 ft, 6 ft, 9 ft B. 3 ft, 5 ft, 7 ft
Whitepunk [10]
Answer:
<span>B. 3 ft, 5 ft and 7 ft
</span>
Explanation:
In any triangle, the sum of any two sides must be greater that the third one.

Therefore, to know if the given sides represent a triangle or not, all what we will do is add the two short sides and compare the result to the largest one.
We would have 3 options:
sum of short sides > longest side ......> It is a triangle
sum of short sides < longest side ......> It is not a triangle
sum of short sides = longest sides ....> It is not a triangle

Now, for the given:
1- Option A:
sum of short sides = 3 + 6 = 9 ft which is equal to the longest side
This option is incorrect

2- Option B:
sum of short sides = 3 + 5 = 8 ft which is greater than the longest side
This option is correct

3- Option C:
sum of short sides = 3 + 6 = 9 ft which is less than the longest side
This option is incorrect

4- Option D:
sum of short sides = 3 + 9 = 12 ft which is less than the longest side
This option is incorrect

Based on the above, the only correct option is B.

Hope this helps :)
4 0
4 years ago
Alice, Bernice, and Cheryl shared some stamps in the ratio 8 : 9 : 18. Alice received 184 stamps. Find the number of stamps that
faust18 [17]
184/8=23
8=alice
9=bernice
18=cheryl

8:9:18=184:207:414
6 0
3 years ago
Who wants brain i just need an answer of 75 divided by 66 without a decimal
Klio2033 [76]

Answer:

1.1

Step-by-step explanation:

If you dont want a decimal then you would just round, and get 1

7 0
3 years ago
Can transformations always be applied to shapes, even if they're not in a plane?
Tatiana [17]

A translation is a transformation of the plane in which a a plane figure slides along a straight line, and changes its position without turning. Each point moves the same distance and in the same direction. Hence all points subjected to the same translation undergo the same displacement.
8 0
3 years ago
Other questions:
  • HELP!!!!!!!!! 10= p x 0.048 x 1/12
    7·1 answer
  • What is the expression 6 times the quantity n plus 7?<br> (there is no picture for it)
    15·2 answers
  • Solve 3[–x + (2 x + 1)] = x – 1. <br><br> X= ?
    9·2 answers
  • 20 POINTS!!!! This graph shows the costs of purchasing two types of bird seed mix.
    10·1 answer
  • A hose fills a hot tub at a rate of 3.13 gallons per minute. How many hours will it take to fill a 255-gallon hot tub?
    14·1 answer
  • PLZ SOMEBODY HELP ME! THIS IS A REALLY HARD QUESTION! Madison represented the sentence “The product of 3 and the difference of N
    6·2 answers
  • 12.
    13·1 answer
  • Determine the solution to a−5=3 that makes the equation true.
    12·1 answer
  • Which shortcut can be used to prove the triangles are congruent?
    13·1 answer
  • Before it started to rain, Bobby cut 1 8 of the grass in his yard and Danny cut 1 5 of the grass in the yard. Both boys were dis
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!