Answers
Answer:
explicit definition: [tex]a_n=5n-4[/tex]
recursive definition: [tex]a_n=a_{n-1}+5[/tex]
Step-by-step explanation:
Given arithmetic sequence: 1, 6, 11, 16, 21 ...
Therefore,
first term a = 1common difference d = 5Using the general form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
[tex]\implies a_n=1+(n-1)5[/tex]
[tex]\implies a_n=1+5n-5[/tex]
[tex]\implies a_n=5n-4[/tex]
or [tex]a_n=a_{n-1}+5[/tex]
Related Questions
Brian was thinking of a number. Brian adds 8 to it, then doubles it and gets an answer of 16. 4. What was the original number?
Answers
Answer:
the original number is 0.2
Step-by-step explanation:
2(x+8)=16.4
2x+16=16.4
2x=16.4-16
2x=0.4
x=0.2
The midpoint of a line segment partitions the line segment into a ratio of
1:1.
1:2.
2:1.
2:3.
Answers
Answer:
1:1
Step-by-step explanation:
First choice
There are 12 corn stalks, 6 tomato plants, 4
squash plants, and 2 cucumber plants in the
garden. What is the probability of randomly
picking a tomato or squash plant from the garden?
O 5/12
O 4/24
O 6/10
O 1/4
Answers
The probability of randomly picking a tomato or squash plant from the garden is 5/12.
What is probability ?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
What is the probability of randomly picking a tomato or squash plant from the garden?Probability = (total number of tomato / total number of fruits) + (total number of squash / total number of fruits)
total number of fruits = 12 + 6 + 4 + 2 = 24
(6/24) + (4/24) = 10/24 = 5/12
To learn more about probability, please check: https://brainly.com/question/26321175
If there are 108 people in a room and I need to put 9 each group how many group are there. 18 points
Answers
Answer:
12 groups
Step-by-step explanation:
brainliest pls
Answer:
12 because 180÷9=12 so it will be the are 12 groups or however it says ...
express 24% as a fraction in its lowest form
Answers
Answer:
I'm going to take a hunch and say it's 6/25
It's just a hunch but that's my answer
Step-by-step explanation:
Who holds the world record for memorizing the most digits of pi.
Answers
Answer:
Akira Haraguchi.
Step-by-step explanation:
Akira Haraguchi, who in 2006 recited 100,000 digits of pi from memory at a public event near Tokyo.
Malia has
1/8 liter of juice. She distributes it equally to 3 students in her tutoring group. What fraction of the juice does each student get?
Answers
Answer: 1/24 L
Step-by-step explanation:
[tex]$\frac{1}{8} L \div 3= \frac{1}{8} \div \frac{3}{1}= \frac{1}{8} \times \frac{1}{3}=\frac{1}{24} \quad$ \\\\\begin{aligned}\therefore \text { Each student will get } &\frac{1}{24} L \text { of juice. }\end{aligned}[/tex]
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
[tex]\frac{1}{8}\div \:3[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}[/tex]
[tex]=\frac{1}{8}\div \frac{3}{1}[/tex]
[tex]=\frac{1}{8}\times \frac{1}{3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{1\times \:1}{8\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1[/tex]
[tex]=\frac{1}{8\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:8\times \:3=24[/tex]
[tex]=\frac{1}{24}[/tex]
Thus, 1/24 on fraction of juice each student get.
[RevyBreeze]
what is the volume of 5cm 3 cm 2cm
Answers
6. If George’s mom needs 3 kilograms of sliced cheese for a family party, how many
packages will she need to buy?
help meeeeeeeeeeeeee∅
Answers
Answer:
6 package
Step-by-step explanation:
Given:
Amount of cheese needs = 3 KG = 3,000 gram
Assume;
1 package of cheese = 500 gram
Find:
Number of package need
Computation:
Number of package need = Amount of cheese needs / 1 package of cheese
Number of package need = 3,000 / 500
Number of package need = 6 package
Which data value is farthest from the mean? How far you is this value from the mean? Round to the nearest hundredths. 34,37,48,32,25,34,35,23,33,30.
Answers
Answer:
48; 14.90 or 14.9
Step-by-step explanation:
First you have to take the mean of the data set.
In order to do this, we take the sum of all of the data points and then divide them by the number of values like so...
[tex]\frac{34+37+48+32+25+34+35+23+33+30}{10}[/tex]
The answer to this is 33.1.
Now we have to find the value furthest from this value. In order to do this, we are going to take the highest (48) and the lowest value(23). Then we compare their distance from 33.1. After this, we can tell that 48 is further from 33.1 than 23 is.
Then for the second part, 48-33.1 = 14.90 and that is how far the value is from the mean.
Plss i don’t know how to find the answer help if you can
Answers
Solution in the picture
Answer:
[tex] \times = 1.8[/tex]
The friend has some quiz corrections currently, so anyone who helps thank you.
The width of the rectangle is 50% of its length. (18ft is length) What is the AREA of the rectangle.
Answers
Answer:
Area = 162 ft.^(2)
Step-by-step explanation:
50% of 18 ft. = 9 ft.
9 x 18 = 162 ft.^(2)
A rectangle is 18 inches long and 12 inches wide.
What is the perimeter of this rectangle?
Answers
Perimeter = 2 x length + 2 x width
perimeter = 2x18 + 2x12 = 36 + 24 = 60 inches
Answer: 60 inches
I need help plsssssssssssssss
Answers
Answer:
1. A
2. I
3. R
Step-by-step explanation:
The opposite of a number is just adding or removing a minus sign.
For -6, we just remove the - and get 6.
For 0, this is a special case. It always stays as 0, because -0 does not exist.
For 18, we just put a minus sign and get -18.
2
b.
b.
(n+ 6n - 4)(2n - 4)
---
Simplify each expression into its standard form
Answers
Answer:
14n^2-36n+16 is the answer
Which statement describes the solution(s) to the system of equations 2 x − 3 y = − 10 and − 6 x + 9 y = − 10 ?
Answers
Both of the equations equal -10, therefor the equations are equal.
Find the simplified product:
9x* *3x8
4
0 2/126²²
o 327x2
12
3x4
оо
9x
DONE
Answers
Answer:
[tex]3 {x}^{4} [/tex]
Step-by-step explanation:
[tex]\huge \sqrt[3]{9 {x}^{4} } . \sqrt[3]{3 {x}^{8} } \\ \\ \huge = \sqrt[3]{9 {x}^{4} \times 3 {x}^{8} } \\ \\\huge = \sqrt[3]{27 {x}^{12} } \\ \\ \huge\orange{= 3 {x}^{4} }[/tex]
Find the slope of the line. m=
Answers
Answer:
See below.
Step-by-step explanation:
(-1,2),(3,-1)
-1-2/3-(-1)
-1-2/3+1
-3/4
The slope is -3/4.
-hope it helps
What happens to the standard error of m as sample size increases?.
Answers
Answer:
SEM decreases by a factor of √N
Step-by-step explanation:
The standard error of the mean (SEM) is inversely proportional to the square root of the sample size. As the sample size (N) increases, the SEM is decreased by a factor of √N.
The SEM is the population standard deviation divided by √N for a normal distribution.
What is the last step you should take when solving word problems? A.You should find a common denominator for your fractions. B.You should simplify your fractions with the GCF. C.You should clearly state your final answer. D.You should multiply the numerators and denominators. please help!?
Answers
Answer:
you should clearly state your final answer
Step-by-step explanation:
Answer:
You should find a common denominator for your fractions.
Step-by-step explanation:
easy hope this helps
a bag contain 150 marbles. some are blue, and the rest are white. there are 21 blue marbles for every 4 white marbles.How many blue marbles are in the bag? Explain your resoning.
Answers
Answer:
787.5
Step-by-step explanation:
150x21÷4 sana makatolong
Any answers I need help
Answers
Answer:
(A) 21
Step-by-step explanation:
5x-15 needs to equal 90 since it is a right angle and 21 makes that true
[tex](5*21)=105\\105-15=90[/tex]
Step-by-step explanation:
A+B=180
(9×+15)×(3×-15)=180
12×=180
×=180\12
×=15 ans,,
A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent? (4 points) a the distance above the surface of the lake b the distance below the surface of the lake c the surface of the lake d the height of the fish
Answers
The answer would be the surface
(7 + 3) + 42 x (7-3) =
please hurry!!
Answers
[tex](7 + 3) + 42 \times (7 - 3) [/tex]
[tex]10 + 42 \times 4[/tex]
[tex]10 + 168[/tex]
[tex] 178[/tex]
Answer=178Answer:
178
Step-by-step explanation:
Make sure to follow the order of operations:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
What is the volume of a beach ball with a radius of 13 centimeters?
Answers
Answer:
It is 9202.77
(rounded off)
Step-by-step explanation:
Volume=4/3*π*radius^3
The beach ball described is 4/3*π*13^3
Answer:
4/3 πr^13
4/3 π 13^3
4/3 π 2197 = 9202.77
y = 2x2 + 3 y = x + 2 how many solutions?
Answers
Answer:
There are infinity answers to this
Step-by-step explanation:
Chioe stops for lunch in a town that
has no meal tax. She has $20 and tips
15%. Select all the prices of meals she
could buy.
(A) $18.50
(B) $16.25
(C) $15.75
(D) $17.45
(E) $15.95
Answers
how has the pandemic financial impacted households?
Answers
Answer:
people are now earning less money than they did before the pandemic
Step-by-step explanation:
lord have mercy.
prices are going up because people need more pay,
many people are loosing their workers due to quarentined or loved one is quarentied, not enough pay,
many houses are impacted because of people buying more stuff because again, prices are going up
many are impacted by the death of loved ones (funerals are expensive holy cow)
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
See off side word is used it will be deducted half each time n is used
So we get a geometric sequence.
So correct formula is
[tex]\\ \rm\longmapsto f(n)=128(1/2)^n,n>1[/tex]
Option A is correct
There are many cylinders with radius 6 meters. Let h represent the height in meters and V represent the volume in cubic meters. Which equation represents the volume V as a function of the height h?
Answers
The equation that represents the volume of the cylinder is 36πhhh m³.
Explanation:
Formula: volume of a cylinder = πr²h
pi = π = 22/7
r = radius
6² πhhh
36πhhh m³