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
viktelen [127]
3 years ago
5

Write the first five terms of the sequence in which the nth term is

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

C) 2,6,24,120,720

Step-by-step explanation:

Here the n-th term An = \frac{(n +2)!}{n + 2}

A1 is the first term

A1 = (1 + 2)!/(1 + 2)

= 3!/3

A1 = 2

A2 is the second term

A2 = (2 +2)!/(2 +2)

= 4!/4

A2 = (1*2*3*4) /4

A2 = 6

A3 is the third term

A3 = (3 + 2)!/(3 +2)

A3 = 5!/5

A3 = 24

A4 is the fourth term

A4 = (4 + 2)!/(4 + 2)

A4 = 6!/6

A4 = 120

A5 is the fifth term

A5 = (5 + 2)!/(5 +2)

A5 = 7!/7

A5 = 720

Answer: C) 2,6,24,120,720

Thank you.

You might be interested in
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
4 years ago
Start with the following statement: Vertical angles are congruent. a.State the conditional and three other forms of the statemen
WARRIOR [948]
There are three kinds of statement that we could construct base on the given where as Vertical angels are congruent. First is converse: If angle 1 is 90 degree then angle 2 is 90. Second is Inverse: If angle 2 is not 90 then angle 1 is not. Third is Contrapositive: If angle 2 is not 90 then angle 1 is not 90 also.
8 0
3 years ago
What is the square root of 89 rounded to the nearest hundredth?
NeTakaya
The square root of 89 routhe neasrest hundreth is 9.43
4 0
3 years ago
What is 37.50 rounded to the nearest tenth?
photoshop1234 [79]
37.50 rounded to the nearest tenth is 37.5
6 0
4 years ago
Read 2 more answers
Can someone plz help me doing this :D
Mars2501 [29]
Ok so the first thing you would do is input the number where The variables are in the equation so 8^2-5(4)/4
6 0
4 years ago
Other questions:
  • for each dress she makes connie uses 2 5/8 yards of fabric . How many total yards of fabric will connie need in order to make 24
    6·1 answer
  • A family took a trip. They spent $90.71 for gasoline, $153.00 on meals, $197.00 on amusements, and $73.38 on miscellaneous expen
    7·1 answer
  • 1.) Chloe has a piece of wood molding that is 27 inches long. She cuts the
    10·2 answers
  • Brian is finishing a meal at his favorite restaurant. The check shows that the cost of the food is 42 dollars. He adds a 15% tip
    14·2 answers
  • There are 4 standard U.S. coins. If a person has one of each. How many different amounts of money can the person give someone us
    7·1 answer
  • A football team receives a 5-yard penalty on one play and a 10-yard penalty on the next. Write a number sentence to represent th
    11·1 answer
  • What is the value of 3 minus (negative 2)?
    14·1 answer
  • I need help finding this missing angle
    7·1 answer
  • Help. help. help.<br>no link pls. ​
    15·1 answer
  • Write the expression for The quotient of twice a number and five.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!