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
I am Lyosha [343]
2 years ago
9

For some integer n, the first, the third and the fifth terms of an arithmetic sequence are respectively 3n, 5n – 6, and 11n + 8.

What is the fourth term?
Mathematics
1 answer:
Mazyrski [523]2 years ago
8 0

Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;

or a₄=-39.

You might be interested in
Is 3.2 a rational number?
Anastaziya [24]
The number<span> is between integers, so it can't be an integer or a whole </span>number<span>. It's written as a ratio of two integers, so it's a </span>rational number<span> and not irrational. All</span>rational numbers<span> are real </span>numbers<span>, so this </span>number<span> is </span>rational<span> and real.</span>
5 0
3 years ago
Read 2 more answers
The Houston rockets scored 66 points in the second half. There are 24 minutes in a half. What was the average number of points p
anastassius [24]
The answer is 2.75, I believe.
3 0
3 years ago
Write 0.25 as a fraction
Anarel [89]
25/100 also 1/4
they are the same fraction, one of them is just simplified
4 0
2 years ago
As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple
zhenek [66]

Answer:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

P(A)=\frac{Possible outcomes}{Total outcomes}

For this case if we replace we got:

P(A) =\frac{23}{56}=0.411

And using the complemnt rule we got:

0.411 +P(A')=1

And solving for P(A') we got:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

4 0
3 years ago
3. Damien paints 1/5 of a room in 5/12 hours what unit rate describes this situation
sdas [7]

Answer:

It takes 2 1/2 hours to paint each room.

7 0
3 years ago
Other questions:
  • I need help on my ixl
    15·1 answer
  • A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
    8·1 answer
  • What is the value of n
    8·2 answers
  • (4.3×10 2 )×(4.0×10 −3 ) in scientific notation??
    9·1 answer
  • A cell divides through mitosis, creating two daughter cells. Which of the following is true about the daughter cells?
    7·1 answer
  • What conjecture can you make about the twentieth term in the pattern A, B, A, C, A, B, A, C?
    11·2 answers
  • A pizzeria sells two types of pizza for lunch: pepperoni and cheese. The pepperoni pizza costs $8.50 and the cheese pizza costs
    5·1 answer
  • What is the missing angle in the triangle?
    9·1 answer
  • Simplify.<br> 9<br> 100<br> Be sure to write your answer in simplest form.
    7·1 answer
  • Please help me I really need help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!