so the answer would be 41 cause it goes in
The nth term of sequence 2, 9, 22, 41, 66 will be Tn = 7n + 9.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
where a₁ is the first term and d the common difference
The given sequence is 2, 9, 22, 41, 66
There is a common difference between consecutive terms, that will be;
d = 9 - 2 = 22 - (9) = 7
This indicates the sequence is arithmetic with nth term which is;
[tex]T_n[/tex] = a₁ + (n - 1)d
Here a₁ = 2 and d = 7 , then
[tex]T_n[/tex] = 2 + 7(n - 1)
[tex]T_n[/tex] = 2 + 7n + 7
[tex]T_n[/tex] = 7n + 9
Hence, the nth term of sequence 2, 9, 22, 41, 66 will be Tn = 7n + 9.
Learn more about arithmetic sequence here:
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Of the 52 students eating lunch, 17 students are eating a sandwich. The rest of the students are eating pizza. What is the ratio of students who are eating sandwiches to students eating pizza?
Solve this equation: b - 120 = 80
What is the value of b? (what is b)
Answer:
b=200
Step-by-step explanation:
Cancel -120 from both sides by adding 120 to the other side:
b=80+120
b=200
Answer:
b= 200
Hope it helps, if not, I'm so sorry.
Riley invested $150 in an account paying an interest rate of 1 % compounded daily.
Blake invested $150 in an account paying an interest rate of 1% compounded
continuously. After 5 years, how much more money would Blake have in his account
than Riley, to the nearest dollar?
Answer:
$5
Step-by-step explanation:
Paula is the student council member responsible for planning an outdoor dance. Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food.
Question 1: Band A charged $600 to play for the evening and Band B changers $350 plus $1.25 per student.
Write a system of equations to represent the cost of the two bands.
Answer:
Plans include hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage student attendance while still covering the cost of the band and the food. Question 1: Band A charged $700 to play for the evening and Band B changers $550 plus $1.50 per student.
Step-by-step explanation:
Find the area of a square with the side lengths of (1/2x+2)
Answer: There are no like terms
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
This is a continuation to the other question
Answer:
m=86 degrees
x=98 degrees
Step-by-step explanation:
1:
the angles of a triangle are 180
180-71-23=86
m=86
2:
the angles of a triangle are 180
180-52-30=98
x=98
hope this helps and is right!
SOMEONE HELP PLS ITS IMPORTANT!
What’s the measure of MNK & PK?
Answer:
0.125 and 0.25
Step-by-step explanation:
So if M is 1/2 So is N and K and P so that means
For MNK it is 1/2 ³ which is 1/2 x 1/2 x 1/2 = 0.125 = 125/1000
For PK it is 1/2² which is 1/2 x 1/2 = 0.25 = 1/4
which is the measure of
Answer:
The measure of what?
Step-by-step explanation:
post the question again and I will see if I can answer it
How do I calculate Mean.
Answer:
Add up all of the values and divide the sum by the amount of values.
For example, find the mean of 4, 6, and 14.
Add the values. 4 + 6 + 14 = 24
There are 3 terms (4, 6, and 14) so we divide their sum (24) by 3. 24 divided by 3 is 8.
The mean would be 8.
Answer:
you calculatee the mean by adding all the numbers together and dividing it by how many numbers you had.
Step-by-step explanation:
example: 2, 7, 4, 2
if you add them you get 15. then you divide it by four becuas that is how many numbers you have. when you divide you get 3.75
what is the solution to the equation below? round your answer to two decimal places. 4e^2x+16=36
Answer:
Answer is B X=0.80
Hope this helps and it does help if you rate,like,and mark brainliest
Answer:
.80
Step-by-step explanation:
A.P.E.X
what place value is 7 in 7,000.2
Answer:
thousands place
Step-by-step explanation:
Have a nice day
ASAP please help me
Answer:
dont really know buy im thinking its A.
Step-by-step explanation:
hope this helps somewhat
Answer this please I’m not sure of the answer
Answer:
50
Step-by-step explanation:
All angles in a triangle add to 180 so C would be 65 and we just do 180-65-65 and we get 50.
I will mark brainliest to whoever gets this right :) (Picture below)
Answer:
80
Step-by-step explanation:
180 subtract both measurements which are 45 and 55
you get 80
Answer:
80 degrees
Step-by-step explanation:
A circular running track is 14 of a mile long. Elena runs on this track, completing each lap in 116 of an hour. What is Elena’s running speed? Include the unit of measure
Answer:
The wording is quite confusing, but here it goes
Step-by-step explanation:
T(track)= 14 of a mile. 1 mile is 5280 feet. If Elena is running each lap at 116 of an hour, (116%?) then 16% of 60 is 9.6 minutes, so each lap takes 69.6 minutes. One lap is 1312 feet, so 5280/1312= 4.02, so she can run 4 laps, which will take her 278 minutes. So 1312 is 24% of a mile, and she is running at .24 mph.
Can someone please help
Answer:
each hamburger costs $3.50
Step-by-step explanation:
he spent $13 in total and bought one hot dog for $2.50 and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equaton,
2.50 + 3h = 13 now solve for x
-2.50 2.50
3h = 10.50
h=3.50
check:
2.50+3(3.50)=13
2.50+10.50=13
13=13
I need help 20 points please
Answer:
true
false
true
Step-by-step explanation:
.... im not exactly sure it seems like common sense to me sorry if i didnt help
Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.
Answer:
25 /12*6 =12.5
Step-by-step explanation:
thats what i got
The measure of each angle of an isosceles triangle is
Select one:
a. 15
b. none of these
c.5
d. 30
e. 90
SOMEONW GIVE ME STEP BY STEP EQUATION I NEED TO SUBMIT THIS TONIGHT
Answer:
no answer. Because 8-4 is not equal to 12
Step-by-step explanation:
The water level in an ocean changes at an average rate of 3 meters per hour. At this rate, how many hours would it take for the water level to change 12 meters?
Answer: 4 hours
Step-by-step explanation:
The water level changes at an average rate of 3 meters per hour.
The question wants to know how long it will take for the ocean water level to change 12 meters.
You can use direct proportion:
1 hour : 3 meters
x hours : 12 meters
Cross multiply to get:
3x = 12
x = 12 / 3
= 4 hours
Keliy has $25 to spend on construction paper at the craft
store. If a package of construction paper costs $1.62, what is
the GREATEST number of packages Kelly can buy?
If q varies directly as r, and q=20 when r=5, find the constant of variation.
a.k=2
b.k=3
c.k=4
d.k=5
Answer:
c. k=4
Step-by-step explanation:
5 in 4 places is 20 4 is a constant variation
The value of constant of variation k is 4.
Since, q varies directly as r.
[tex]q=kr[/tex]
Where k is constant of variation.
Substitute.[tex]q=20,r=5[/tex] in above equation
[tex]k=\frac{20}{5} =4[/tex]
Thus, The value of constant of variation k is 4.
Learn more:
https://brainly.com/question/23042914
Monica deposits $100 into a savings account that pays a simple interest rate of 4.5%, Paul
deposits $200 into a savings account that pays a simple interest rate of 3.2%. Monica says that
she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your
response.
Answer:
yes she is correct
Step-by-step explanation:
because in 1 year it will go up 4.5%
I need help with geometry
Answer:
168 degree angle
Step-by-step explanation:
Find the value of x.
Answer:
your answer is 4
Step-by-step explanation:
Answer:
x = 38
Step-by-step explanation:
x+10 + 3x+18 = 180
4x = 152
x = 38
There are 15 plums and 9 apples in a fruit bowl. What is the ratio of apples to plums?
Answer:
5:3
Tell me if I'm correct
HELP ASAP!!!! HELP HELP
Answer:
proportional
Step-by-step explanation:
Answer:
I'm 99% sure it's Non-Proportional
Step-by-step explanation:
If you were to convert each of them into fractions and simplified them, they wouldn't be equivalent.
kevin and jenny each use 12 cups of water to make a plaster. who will make more plaster?
Answer:
Students solve problems by comparing different ratios using two or more ratio tables. ... If you used ratios to compare, what do the ratios mean in the context of this ... Laredo makes his juice by combining three cups of water for every one cup of ... Milton's Juice. Water. JC. Total. Water. JC. Total. Water. JC. Total. 12. 2. 14. 15.
Step-by-step explanation:
Simplify: 2(10) + 2(x - 4)
Answer:
2x+12
Step-by-step explanation:
Multiply the numbers
2*10+2(x-4)
Distribute
20+2x(x-4)
20+2x-8
Subtract the numbers
20+2x-8
12+2x
Rearrange terms
2x+12