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
Strike441 [17]
3 years ago
7

Which of the following represents an explicit formula for the sequence: 8.2, 10, 11.8, 13.6

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
3 0

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

You might be interested in
Please provide the answer for me if anyone is per if anyone provides the answer I will answer to one of their questions thank yo
nikitadnepr [17]

Answer:

270

Step-by-step explanation:

Greg is making 3 times as many pies, so he needs 3 times as many cherries.

Greg needs 720 cherries to make 9 perfect cherry pies.

7 0
3 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
Delicious77 [7]

Answer:

AYOOOOO MONEY CHECK

Step-by-step explanation:

8 0
3 years ago
On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a const
KIM [24]
To determine the total distance traveled by an object in constant speed, just multiply the speed by the time. So, for the car, the total distance traveled is,
                               distance by car = (20 m/s)(5s) = 100 m
For decelerating object, the distance traveled is,
                          distance = Vt - (at^2)/2
For the truck,
         distance by truck = (20 m/s)(10s) - (2m/s^2)((10s)^2)/2 = 100 m

Relatively, both have traveled the same distance. 
7 0
3 years ago
What is the solution to the system of equations <br><br> 3x+2y=39<br> 5x-y=13
Vadim26 [7]

Hiya. I'm going to rewrite the second equation.

By subtracting 5x by both sides, I'll be able to have y by itself:

-y=-5x+13

I'm going to then divide both sides by -1 to get:

y=5x-13.


Then, I'm going to plug that equation into the first equation

3x+2(5x-13)=39

Factor:

3x+10x-26=39

Combine like terms:

13x=65

Divide both sides by 13 to get x by itself to get x=5


Plug this back into the equation of y=5x-13

y=5(5)-13 to get y=12

4 0
3 years ago
Read 2 more answers
What is the "least common denominator" of the following two fractions:<br><br> 1/6 and 1/2
astra-53 [7]

Answer:

it is 6

Step-by-step explanation:

2 and 6 are the denominators and the least common denominator is the number in which 2 & 6 can go in without leaving a remender and 6 is that number

8 0
2 years ago
Read 2 more answers
Other questions:
  • 8265/28500 as a percent
    15·1 answer
  • 9 over 10 times a number plus 6 is 51?
    9·2 answers
  • Calculate the sum 2/9+5/9
    15·2 answers
  • John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a s
    11·1 answer
  • (√2+√3) (√2+√5)<br><br>Not complusory to expand the answer<br>pls help
    15·1 answer
  • Can anyone do this quickly since I’m being timed again
    10·1 answer
  • PLEASE ANSWER AND EXPLAIN ♥️ITS DUE VERY SOON.
    13·2 answers
  • The probability of drawing a red candy at random from a bag of 25 candies is 2/5.
    13·1 answer
  • Which promblem can be solved using 3 times 7=21
    14·1 answer
  • alison surveyed a group of students at her school. she found that 155 students owned a cell phone, and 76 of those students owne
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!