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
Helen [10]
3 years ago
14

Find the exact sum of the arithmetic series 6+3.8+⋯−29.2

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

-197.2

Step-by-step explanation:

Since it is arithmetic series, first find the difference d between the two know series.

3.8 - 6 = - 2.2

d = -2.2

a = 6

Tn = -29.2

Looking for the n term, use the linear method.

Tn = a+( n - 1)d

Substitute all the parameters

-29.2 = 6+( n - 1 ) -2.2

-29.2 = 6 - 2.2n + 2.2

- 29.2 = 8.2 - 2.2n

-29.2 - 8.2 = - 2.2n

-37.4 = -2.2n

n = 37.4/ 2.2

n = 17 terms.

To Find the exact sum of the arithmetic series, use the sum formula below

Sm = n/2( 2a + (n - 1)d)

Sm = 17/2( 2 × 6 + ( 17 - 1 ) -2.2

Sm = 17/2(12 - 35.2)

Sm = 8.5( - 23.2)

Sm = - 197.2

Therefore, the exact sum of the arithmetic series is -197.2

You might be interested in
Hello, I do not anderstand this at all. I have been working on radicals and stuff, but this goes way above my head. Please help.
liraira [26]

Answer:

x = \frac{5}{7}

Step-by-step explanation:

We can start simplifying this equation by expanding the parenthesis and cross multiplying.

(7^x)^4 = \frac{7^2 * 7^3}{7^{3x}} = \\\\\\7^{4x} = \frac{7^5}{7^{3x}}\\\\\\7^5 = 7^{7x}\\\\\\

The exponent 5 and 7x are equal:

\longmapstoDivide both sides by 7

5 = 7x\\\\x = \frac57

-Chetan K

6 0
2 years ago
Read 2 more answers
Which answer describes the type of sequence?<br><br><br> 99,89.9,78.8,68.7,.
morpeh [17]

Answer:

geometric

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A transcriptionist types 62 words per minute. Which statement is correct? As the number of words increases, the number of minute
Monica [59]

Answer:

The number of words, w, is the dependent variable.

Step-by-step explanation:

8 0
3 years ago
Please help and show clear instructions will give brainliest !
Tems11 [23]

Answer:

Answer is 3 because

Step-by-step explanation:

a=2

20*2= 40

40-1 = 39

b = 13

so 39/13 = 3

3 0
3 years ago
Read 2 more answers
Carl is shipping a cardboard box that is a rectangular prism. The net of the box is 10 in 6 in 4in. What is the area of the box?
sweet [91]
If by area you mean surface area then the answer is 248 square inches but if you mean volume the answer is 240 cubed inches.
6 0
3 years ago
Other questions:
  • What percent is equivalent to 1/20
    12·2 answers
  • Bill cut out 6 squares and 18 circles . He divided the cutouts into groups so that the same number of squares and circles were i
    13·2 answers
  • You are selling tickets for a high school play student tickets cost $4 and adult tickets cost $6, you sell 450 tickets and colle
    12·1 answer
  • In 2 ½ hours, Joaquin can bake 4 dozen cookies. What is his unit rate in dozen cookies per hour?
    14·1 answer
  • Which expression is equal to 1/6? ​
    5·2 answers
  • Using the common denominator what is an equivalent fraction for 1/3 ​
    9·1 answer
  • Annie and Maria traveled overseas for days and stayed in three different hotels in three different cities: Stockholm, Sweden; Os
    12·1 answer
  • A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the ex
    15·1 answer
  • What is the answer to number 4 ?
    12·2 answers
  • What is the value of x, y, and z?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!