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
Stells [14]
3 years ago
6

Find the common difference for the infinite arithmetic sequence shown.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

The common difference is 12

Further explanation:

It is given that the infinite sequence is an arithmetic sequence

The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

a_1 = 211\\a_2 = 223\\a_3 = 235\\a_4 = 247........

The common difference is denoted by d.

Here,

d = a_2-a_1 = 223-211 = 12\\a_3-a_2 = 235-223 = 12

The common difference is same for all proceeding terms.

So,

d = 12

Keywords: Infinite arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/12613605
  • brainly.com/question/1284310

#LearnwithBrainly

You might be interested in
What is the answer to this?
saul85 [17]
A) Who would not love birdies??
6 0
3 years ago
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t
34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875

8 0
3 years ago
How can you represent all of the solutions to systems of inequalities?​
Dimas [21]

Answer:A closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution. Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions". So I graph each inequality, and then find the overlapping portions of the solution regions.Step 1: Line up the equations so that the variables are lined up vertically. Step 2: Choose the easiest variable to eliminate and multiply both equations by different numbers so that the coefficients of that variable are the same. Step 3: Subtract the two equations. Step 4: Solve the one variable system.

Step-by-step explanation:

hope this helps have a great night ❤️❤️❤️

6 0
3 years ago
The GCF of 18 and 30 is ____.
hammer [34]

The GCF of 18 and 30 is 6

4 0
3 years ago
Read 2 more answers
Please help me with this ​
e-lub [12.9K]

Answer:

7. 5 \frac{5}{8} pizza

8. B

9. 11 \frac{1}{5} inches

10. -12

11. \frac{3}{20}

12. 4

Step-by-step explanation:

7. 3 \frac{1}{2} \\ + 2 \frac{1}{8}

make them mixed fractions: \frac{7}{2} + \frac{17}{8}

get a common denominator by multiplying \frac{7}{2} by 4: \frac{28}{8} + \frac{17}{8}

add the numerators: \frac{45}{8}

simplify the fraction by dividing 45 by 8: 5 \frac{5}{8}

8. 3 x 6 = 18

5 x 6 = 30

7 x 6 = 42

9 x 6 = 54

therefore, y = 6x

9. 5:7 is similar to 8:L

divide 8 by 5: 1 \frac{3}{5}

multiply 7 by 1 \frac{3}{5}: 11 \frac{1}{5}

L = 11 \frac{1}{5} inches

10. 5 - 2x = 29

subtract 5 from each side: -2x = 24

divide each side by -2: x = -12

11. fruit = 15%

15% = 15/100

simplify by dividing by 5: \frac{3}{20}

12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.

4 0
3 years ago
Other questions:
  • on a trip from Virginia to Florida the Sampson family wants to travel at least 420 miles in 8 hours of driving. what must be the
    6·2 answers
  • Among the following, an incorrect statement is a) the volume of the hollow sphere =4/3π (r^3—r^3), where r is the radius of the
    13·1 answer
  • What are the coordinates of P' when you translate P 3 units to the left and 1 unit up?
    12·1 answer
  • I uploaded the answer to a file hosting below
    14·1 answer
  • Adam earns $13.72 each hour that he works.He work 9 hours each week how much does adam earn each week
    13·1 answer
  • working alone, aliyah can dig a 10ft by 10 ft hole is 6 hours. one day her friend eugene helped her and it only took 3.75 hours.
    10·1 answer
  • 1. Create a polynomial function, f(x), with the following characteristics.
    9·1 answer
  • 24.783 is what percent of 75.1
    7·1 answer
  • Need help, look at attachment
    15·1 answer
  • Module 1 Exam
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!