The sequence 5, 8, 13, 21, is option D: neither an arithmetic nor a geometric sequence.
What is a sequence?
A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
In an arithmetic sequence, each term is obtained by adding a fixed constant to the preceding term.
In a geometric sequence, each term is obtained by multiplying the preceding term by a fixed constant.
For example, an arithmetic sequence with a first term of 2 and a common difference of 3 would be -
2, 5, 8, 11, 14, ...
And a geometric sequence with a first term of 2 and a common ratio of 3 would be -
2, 6, 18, 54, 162, ...
In the given sequence 5, 8, 13, 21, it can be seen that the difference between successive terms is not constant (i.e., 3-5 = -2, 13-8 = 5, 21-13 = 8).
Therefore, this is not an arithmetic sequence.
Similarly, the ratio between successive terms is not constant, so this is not a geometric sequence either.
Therefore, this sequence is an example of a more general type of sequence that does not follow a simple pattern, and is often referred to as a non-linear sequence.
To learn more about sequence from the given link
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Which equation demonstrates the multiplicative identity property?
Answer:
B. (-3+5i)(1)= -3+5i
Step-by-step explanation:
The multiplicative identity property states that any number or polynomial times 1 will be equal to itself. In answer B, a polynomial is multiplied by 1 and then equals itself. None of the other answers have 1 as a term, and therefore cannot be correct.
a. Write a formula for the area A
of a triangle.
b. Solve the formula for b.
c. Use the new formula to find the
base of the triangle.
A = 36 mm2
h = 6 mm
b
Answer:
A = 1/2 b * h
b = 2A / h
b = 12
Step-by-step explanation:
Remark
The formula starts out as
A = 1/2 * b * h
You want to rearrange it to show b by itself.
Formula
Multiply by 2
2A = b * h
Divide by h
2A/h = b
Part C
b = 2A / h
A = 36 mm^2
h = 6 mm
b = 2*36 / 6
b = 72 / 6
b = 12 mm
Given that x - y = 5 and xy = -6/1/2,
find the value of x² + y².
Answer:
24Step-by-step explanation:
(x - y)² = x² + y² - 2xyx² + y² = (x - y)² + 2xySubstitute given values
x² + y² = 5² + 2(-6/12) = 25 - 1 = 24Answer:
Given that x - y = 5 and xy = -6/1/2,
Step-by-step explanation:
the value of x² + y².
=(x-y)²+2xy=5²+2×[-6 1/2]=25-13=12 is your answer
Show that (16 1/4)3 and (16 3)1/4 are equivalent
Answer:
They are both 12
Change 16 1/4 into 4.
4 • 3
12
16 • 3 is 48
1/4 of 48 is 12
Hope this helps
PLZ HELP ME LOL
A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning
Yesenia is painting the front of the figure below in pink paint. The structure is made
of a cube and a triangular prism.
10.3 feet
9.2 feet
12.5 feet
How much paint does Yesenia need to paint the frorlt of the figure?
100 square feet
115 square feet
179 square feet
213 square feet
Answer:
I cant see the link, try reposting...
Step-by-step explanation:
My sisters name is yesenia
com, Tim, and Giulia work at Toys R Us. Giulia is only part-time and makes the least amount of
money each week. Adam is full-time and makes 3 times as much as Giulia. Tim the store
manager and makes $250 more than Adam. Together they all make $1230 each week.
What is the amount each person earns each week from Toys R Us? Write an equation and show
your work for full marks. (4 marks)
Coord
zh
Answer:
its 250 + 530 = 349893
Step-by-step explanation:
can someone help with this i don't get it
Answer:
Lord have mercy thats a bunch of numbers I woud help but i dont know how to start
Step-by-step explanation:
A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?
Answer:
18 ft and 24 ft
Step-by-step explanation:
3:4
6:8
9:12
12:16
15:20
18:24, 18+24=42
The two lengths into which the cable is divided is 18 and 24.
Given that,
A cable that is 42 feet long is divided into lengths in the ratio 3:4.Based on the above information, the calculation is as follows:
The first length be
[tex]= 42 \times 3 \div (3 + 4)[/tex]
= 18
And, the second length be
[tex]= 42 \times 4 \div (3 + 4)[/tex]
= 24
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Fred's recipe for a smoothie called for 1/3 of an apple, 1/4 of a lemon, and 2/3 of peach to make a single smoothie. A family of 6 arrives and they all want that smoothie.
Answer:
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
Step-by-step explanation:
Recipe for 1 smoothie:
1/3 of an apple
1/4 of a lemon
2/3 of peach
A family of 6 arrives and they all want that smoothie.
Multiply every recipe for 1 smoothie by 6
Recipe for 6 smoothies:
6 × 1/3 of an apple
= 6/3 = 2 apples
6 × 1/4 of a lemon
= 6/4 = 3/2 of a lemon
6 × 2/3 of peach
= 12/3 = 4 peaches
Recipe for 6 smoothies:
2 apples
3/2 of a lemon
4 peaches
The 7th term of the geometric sequence 13, 26, 52, 104, ... is
Answer:
832
Step-by-step explanation:
multiply the original number by 2, seven times.
What is the positive solution to this equation?
4x2 + 12 x= 135
On Monday, the baker makes 36 blueberry muffins. What is the total number of muffins that the baker makes on Monday?
Answer:
90
Step-by-step explanation:
Answer:
am preety sure the total s 40%
Step-by-step explanation:
1. a+b+c+d
2. -a+b-c+d
3. ab+cb
4. ab-bc
5. ba+da
Answer:
1 a+b+c+d
=(ab + c+ d)
=ab+ a+c+ a+d
find the value of given expression
[tex] \sqrt{99 - ( - 1)} [/tex]
Answer:
10
Step-by-step explanation:
Note that when there are two negative signs directly next to each other, you are adding:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]
Simplify:
[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]
10 is your value for the given expression
Answer:
± 10Step-by-step explanation:
[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10Factor the following...
[tex]9n^2-34n-8[/tex]
Please show work
Step-by-step explanation:
9x8= 72
therefore 36 x 2 are the products
9 n^2 - 36n + 2 n -8
9 n( n-4) + 2( n- 4)
therefore the two factors are
( 9 n +2) ( n-4)
Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers
Answer:
7,5,3,1
Step-by-step explanation:
Identify the volume of the composite figure. Round to the nearest tenth.
Answer:
474.5 ft ³
Step-by-step explanation:
1) Find the volume of the cube
[tex]A=l^3[/tex] where l is the side length
Plug in 9 ft as l
[tex]A=9^3\\A=729[/tex]
Therefore, the volume of the cube is 729 ft³.
2) Find the volume of the cylinder
[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
3) Subtract the volume of the cylinder from the volume of the cube
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
I think It's A
Step-by-step explanation:
The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.
Question:
The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.
Answer:
The equivalent is 37.5%
Step-by-step explanation:
Given
[tex]\frac{3}{8}[/tex]
Required
The equivalent
The model is not shown, but the question can still be solved.
We have:
[tex]\frac{3}{8}[/tex]
Multiply by 100%
[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]
[tex]\frac{3}{8} = 0.375 * 100\%[/tex]
[tex]\frac{3}{8} = 37.5\%[/tex]
Which of the following expressions has the greatest value? A. |-14 B. 1-8] C.31 D.|12|
Answer:
The answer is C
Step-by-step explanation:
Answer: C: 31
Step-by-step explanation:
What is the value of x in the equation 5.8(x -11.8) = 0?
I need the work btw
Thx
Answer:
Step-by-step explanation:
Given
5.8 ( x - 11.8) = 0
5.8x - 68.44 = 0
5.8x = 68.44
x = 68.44 / 5.8
x = 11.8
Hope it helps :)
Answer:
To find
[tex] = > [/tex]
The value of x. in the Equation =>5.8(x -11.8) = 0
Step-by-step explanation:
[tex]5.8(x - 11.8) \\ = > 5.8x - 68.44 = 0 \\ = > 5.8x =0 + 64.44 \\ = > 5.8x = 64.44 \\ = > x = 64.44 \div 5.8 \\ = > 11.8[/tex]
Hence,
x =11.8what is the answer to this
Answer:
IDEK
Step-by-step explanation:
Answer: i d k
Step-by-step explanation:
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
Learn more about the area of sectors here:
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5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12
Answer:
10c + 12
Step-by-step explanation:
I believe that is the answer please let me know if I am wrong
Which frequency table matches the histogram shown below?
ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
The possibility of an event happening is its ______.
Answer:
Probability
Step-by-step explanation:
Answer:
Probability.
Step-by-step explanation: This is the chance of an event or something happening. Like one green, blue, yellow, and a red square have a1/4 chance of happening since there are four. This can go to 1/6 if we add white and purple to the spinner.
Solve the system by substitution.
y = 7x – 20
y = 2x
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
What is 13^2 ? Help me !
Answer:
13^2 is 169
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
13^2 is 13x13= 169
Hope this helps :)
(PS I included an explanation on exponents)
when you have an exponent you multiply the base number by itself as many times as the exponent says.
Example: 13^5
13 x 13 x 13 x 13 x 13= 371,293
What is the measure of E in degrees?
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x