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
dalvyx [7]
3 years ago
9

The first five terms of a sequence are 2, 5/3, 3/2, 7/5 and 4/3. what is the explicit formula?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0

Answer:

  an = (n+3)/(n+1)

Step-by-step explanation:

The sequence can be written as ...

  4/2, 5/3, 6/4, 7/5, 8/6, ...

where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written

  an = (n+3)/(n+1)

You might be interested in
Which of the following can be used as another name for the quadrilateral ABCD? *
White raven [17]
Option b is the correct answer
8 0
3 years ago
Solve x²+5x+6=0 by completing the square​
Brums [2.3K]

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

4 0
3 years ago
Translate into an algebraic expression and simplify if possible.
Dennis_Churaev [7]

Answer:

2a + 10

Step-by-step explanation:

the number =  2(a + 5)

= 2a + 10

8 0
3 years ago
If $5000 is invested at a rate of 3% interest compounded quarterly, what is the value of the investment in 5 years?
denis23 [38]

Answer: $3000

Step-by-step explanation:

$5000 x .03 = $150

$150 x 4(quarters) = $600

$600 x 5(years) = $3000

4 0
3 years ago
Michael rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 88 cents for each mil
Vsevolod [243]

163 Miles


(163.43-19.99)÷0.88=163

4 0
3 years ago
Other questions:
  • One of the reasons that the Monitoring the Future (MTF) project was started was "to study changes in the beliefs, attitudes, and
    7·1 answer
  • A farmer's silo is shaped like a cylinder. The silo has a volume of 18,840 ft³. The height of the silo is 60 ft tall. What is th
    6·1 answer
  • Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul's typing speed compared to Jennifer's
    14·1 answer
  • Jake bought a dog bed. The top of the bed is a perfect circle. The diameter of the bed is 4 feet. He wants to make a circle blan
    15·2 answers
  • elaine can plant 6 flowers in 15 minutes. How long will it take her to plant 30 flowers at the same rate?
    13·1 answer
  • Can you just help me with 1 of the figures in my math problem and explain how you got it please!!
    9·1 answer
  • The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side then from the larger side o
    6·1 answer
  • I need help l don’t know what to do
    11·1 answer
  • The slope of line:<br> -6x-3y = 12
    5·1 answer
  • Write 640 g as a fraction of 4.8 kg. Give your answer in its simplest form,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!