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
mr_godi [17]
3 years ago
5

Find S8 for the arithmetic series 10+ ...-144.

Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

S_{8} = - 536

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and a_{n} = - 144 , thus

10 + (n - 1)d = - 144 ( subtract 10 from both sides )

(n - 1)d = - 154

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{8} = \frac{8}{2} [ (2 × 10) + (- 154) ]

    = 4(20 - 154)

    = 4 × - 134

    = - 536

You might be interested in
What kind of transformation converts the graph of f(x) = 10x + 71 - 2 into the graph of
Over [174]

Answer:

A transition down six units

Step-by-step explanation:

-2-6=-8

8 0
4 years ago
The length of one side of a square is 3n+2. The perimeter of the square is 4(3n+2). Which expression is equivalent to the perime
deff fn [24]

Answer:

4(3n + 2)

Step-by-step explanation:

as we know perimeter of a square is 4 x side

one side is 3n + 2

4 sides = 4(3n +2)

8 0
3 years ago
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
Use the quadratic formula to find the exact solutions of x2 − 9x + 5 = 0.
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

All those words, when the math is so much clearer!

x = (9±√(9^2-4*1*5))/2 = (9±√101)/2

7 0
4 years ago
Read 2 more answers
All employees at three stores of a large retail chain were asked to fill out a survey.a. Is it random b. Systematic c. Stratifie
aleksandrvk [35]

Answer:

d. Cluster

Step-by-step explanation:

Random: Random is asking a group of people from a population. For example, to estimate the proportion of Buffalo residents who are Bills fans, you ask 100 Buffalo residents and estimate to the entire population.

Systematic: Similar to random. For example, you want to estimate something about a population, and your sample is every 5th people you see on the street.

Cluster:Divides the population into groups, with geographic characteristics.. Each element is the groups is used. Suppose you want to study the voting choices of Buffalo Bills players. You can divide into offense, defense and special teams, and ask each player of these 3 groups.

Stratified: Done on a group of clusters, that is, from each cluster(group), a number of people are selected.

In this problem, we have that:

All employees at three stores of a large retail chain were asked to fill out a survey.

Divided by clusters(stores).

So the orrect answer is:

d. Cluster

5 0
4 years ago
Other questions:
  • Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7
    9·2 answers
  • LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=6x+9and MP=9x−6
    15·1 answer
  • If the cross-section shown has an approximate area of 78.54 cm2, what is the approximate volume of the cylinder if its height is
    15·1 answer
  • Find the percent of change if 68 is decreased to 12
    11·1 answer
  • X^2−1.78x, if x=2.78
    9·1 answer
  • What is the answer to 9x +3(5 +2x + 8x).<br> Hint: use distributive property
    6·2 answers
  • Please help find the perimeter and area of the polygon
    14·1 answer
  • What is the equation of the line that has a slope of -3 and a y-intercept of -1
    5·1 answer
  • What is the media and explain why.
    7·1 answer
  • If Stevie can swim 16 laps in 4 minutes, how many can she swim each minute?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!