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Ronch [10]
2 years ago
14

Identify the explicit formula for the sequence given by the following recursive formula:

Mathematics
1 answer:
Alex787 [66]2 years ago
7 0

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

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A Circle has a diameter of 9 cm. Find the Circumference. Give a Simplified Exact answer. Enter pi with answer. For example 4pi
lutik1710 [3]
Circumference = Diameter * \pi

So 9\pi is the answer
3 0
3 years ago
Read 2 more answers
Pleaseeee help meeeeeee
Maslowich
That my dear your answer would be 16 degrees hope this helped
5 0
3 years ago
Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total em
svetoff [14.1K]

The equation be x/100 * 28,600 = 33,500, then we get 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

<h3>How to find Trevor's total employee benefits?</h3>

If you would like to know Trevor's total employee advantages, you can estimate this utilizing the subsequent steps:

To find the percentage of the total employee benefits x% of $28,600 exists $33,500.

To estimate the value of x, bring the variable to the left side and bring all the remaining variables to the right side. Simplify the values to estimate the result.

x/100 * 28,600 = 33,500

x = 33,500 * 100 / 28,600

x = 117.13% = 117%

117% - 100% = 17%

x = 17%

The correct result would be 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

To learn more about the value of x refer to:

brainly.com/question/12862290

#SPJ9

6 0
11 months ago
Read 2 more answers
Help me with this please! :D
Nady [450]

Answer:

#1=2

#2= 14

#3= 26

#4= 32

Step-by-step explanation:

y=6x-16

Lets use the first one as an example: since x is our variable we can plug in 3 into the equation to make y=(6x3)-16. 6x3=18, so y=18-16 which is 2. You can plug in any other number to find your answer as long as you follow the pattern in the equation.

8 0
3 years ago
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so, I need to just find the missing length, if you can, please explain the pythagorean theorem to find the missing side. I don't
ANTONII [103]

The surface area of the triangular prism is 828 in².

Solution:

Let the missing length of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of other two sides.

12^2+x^2=15^2

144+x^2=225

Subtract 144 on both sides of the equation.

x^2=225-144

x^2=81

Taking square root on both sides, we get

x = 9

The missing length of the triangle is 9 in.

Area of the front triangle = \frac{1}{2}\times 12\times 9

                                         = 54 in²

Area of the back triangle = \frac{1}{2}\times 12\times 9

                                         = 54 in²

Area of the sloping rectangle = 20 × 9

                                                 = 180 in²

Area of the back rectangle = 20 × 12

                                             = 240 in²

Area of the base rectangle = 20 × 15

                                             = 300 in²

Total area = 54 in² + 54 in² + 180 in² + 240 in² + 300 in²

                 = 828 in²

The surface area of the triangular prism is 828 in².

4 0
3 years ago
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