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romanna [79]
2 years ago
11

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that

n begins with 1.)
{2, 6, 10, 14, 18, . . . }
Mathematics
1 answer:
sveta [45]2 years ago
3 0

The formula for the general term of the sequence is Tn = 4n - 2

<h3>How to determine the formula?</h3>

The sequence is given as:

{2, 6, 10, 14, 18, . . . }

The above sequence is an arithmetic sequence with the following features:

  • First term, a = 2
  • Common difference, d = 4 i.e. 6 - 2

The formula for the general term is calculated using:

Tn = a + (n - 1) * d

This gives

Tn= 2 + (n - 1) * 4

Expand

Tn = 2 + 4n - 4

Evaluate the like terms

Tn = 4n - 2

Hence, the formula for the general term of the sequence is Tn = 4n - 2

Read more about sequence at:

brainly.com/question/21961097

#SPJ1

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A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to
Varvara68 [4.7K]

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

= 25 wooden boards

6 0
3 years ago
Solve the equation 4c^2+7c-5=0 using the quadratic formula.
solmaris [256]

c = \frac{-7+\sqrt{129} }{8}  ,\frac{-77-\sqrt{129} }{8}

5 0
3 years ago
Find the dimensions of the rectangle of maximum area that can be formed from a 330-in. piece of wire.
enyata [817]
Base on your question where you have to find the dimension of the rectangle of a maximum area that can performed from a 330-in piece of wire is first you must get the value of the area or use the formula in getting the area of the rectangle so the answer is 165 by 165 and the area is 82.5 inches
3 0
3 years ago
The 6:00 a.m. temperatures for four consecutive days in the town pf lincoln were -12.1 ,-7.8,-14.3,and -7.2. What was the averag
Gelneren [198K]
-10.35°

Add each temperature and then divide by four to find the average.

-12.1 -7.8 - 14.3 -7.2 = -41.4


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8 0
3 years ago
HELP PLEASE I WILL MARK YOU AS A BRAINLIEST THANK YOU VERY MUCH!!
dybincka [34]

The answer is A) 5b

Lets try an example:

Lets say we have 3 boxes in total of both board games. We can solve for b since b = 3 in the example.

= 5b

= 5(3)

= 15 dice in total

We can check our answer by adding the amount of dice per box.

2 + 3 = 5

Then multiplying by the number of boxes.

5 * 3 = 15 dice total

7 0
3 years ago
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