Consider a sequence given by the formula a n = a n -1 − 5, where a1 = 12 and n ≥ 2.
Create an explicit formula of the sequence. Use the explicit formula to find of the
sequence. Give your answer in the answer space.
a100

Answer:

a=  n+6  n

Step-by-step explanation:

n=an−1−5

Step 1: Flip the equation.

an−6=n

Step 2: Add 6 to both sides.

an−6+6=n+6

an=n+6

Step 3: Divide both sides by n.

an  n  =  n+6  n  a=  n+6  n

There were 18 seeds planted in the garden. After one week there were 324 seedlings. After 2 weeks there were 648 seedlings. If the number of seedlings grows at the same rate each week, how many seedlings will there be after 5 weeks?

pease answer I need the answer
Did you know that chickens sometimes eat vegetables and fruits? A farmer likes to give the chickens apples to share. The farmer observes that 3 chickens eat 5 apples. What is the ratio of the number of chickens to apples? (4 points) Group of answer choices
2:5
5:3
5:2
3:5
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 3:7. Which of the following best describes the amount of lemonade to iced tea? (4 points)

1. For every 3 cups of lemonade, there are 7 cups of iced tea.

2.For every 3 cups of lemonade, there are 4 cups of iced tea.

3. For every 7 cups of lemonade, there are 4 cups of iced tea.
For every 7 cups of lemonade, there are 3 cups of iced tea
On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza? (4 points)
$4.38
$78.84
$23.28
$8.76
a biker traveled 24 miles in 6 hours. A unit rate to describe this would be 4 miles per hour. What is another unit rate in this situation? (4 points)
1 over 4 hour per mile
4 hours per mile
1 mile per hour
1 over 4 mile per hour
Store ___ has the better deal. (4 points)
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours. (5 points)
Part A: Use ratio language to describe the relationship of any two things you can think of.
Example: For every 5 minutes of jogging, I ran 500 yards.
Be creative and come up with your own idea.
Part B: Determine the unit rate in your example. (5 points)

Identify which equations have one solution, infinitely many solutions, or no solution.
3/2x + 2.3 – 1/2x = 4.3 + x
2x + 2/3 = 2x + 4/5 – 4x
17/4 + 4.2y - 9/4 = 2.2y + 6 + 2y - 4
5r + 2 = 6r + 3 – r
-2x + 2 + 4x = 16/5 + 2x - 6/5
3.2p – 2.5 + 2.1p = 5p – 7/2

this is a select all please answer asap thank you

Would appreciate it if someone could help me with at least one question :)

I DONT KNOW HELP PLEASE !!!
Explain how to find the fraction of the​ shop's T-shirts that are​ medium, blue, and on sale. Choose the correct answer below.
A.
Multiply the fraction of​ T-shirts that are blue by the fraction of the​ T-shirts that are on sale.​ Then, multiply the result by the fraction of the blue​ T-shirts that are on sale that are size medium.
B.
Add the fraction of​ T-shirts that are blue and the fraction of the​ T-shirts that are on sale.​ Then, multiply the result by the fraction of the blue​ T-shirts that are on sale that are size medium.
C.
Add the fraction of​ T-shirts that are blue and the fraction of the​ T-shirts that are on sale.​ Then, add the result to the fraction of the blue​ T-shirts that are on sale that are size medium.
D.
Multiply the fraction of​ T-shirts that are blue by the fraction of the​ T-shirts that are on sale.​ Then, add the result to the fraction of the blue​ T-shirts that are on sale that are size medium.

PLEASE HELP
A phone company A charges an unlimited talk fee of $50 and $0.05 per text messages. Company B charges an unlimited talk fee of $80 and $0.02 per text messages. How many text messages must be sent in order for the total cost at company A and company B to be the same?

Your friend incorrectly claims that 1/5 divided by 1/10 = 1/50. Find 1/5 divided by 1/10. Then describe what may have been your friend’s error.

Write an equation in slope intercept format that has a slope of 1/5 and includes the point (10, 7).


Write your answer as y=mx+b. Write your answer as a fraction if it is not an integer. (#/#)

A plant is growing at about 0.45 inches a day. Find the change in the height of the plant after 14 days

Who is able to type a minimum of 95 words every 2 minutes?
Please Help!!

Hailey solves the equation shown.

14(2−x)=5+3x
In which step does Hailey make her first error?


Step 1: 12−x=5+3x

Step 2: 12=5+4x

Step 3: −92=4x

Step 4: −98=x

Which of the following is a true statement?

1. A rhombus sometimes has the properties of a square.
2. A square never has the properties of a quadrilateral.
3. A trapezoid always has the properties of a square.
4. A quadrilateral always has the properties of a rectangle.
THANKS!

HALPP MEHHHHHHHHHHHHHHHHhhhhhhhhhhhhhhhhhhhhh

A) 3 years
B) 7 years
C) 5 years

plz help me and show work plz

Help please asap?! please

A model of a car was made using a scale of 1 in: 15 in. If the size of the car in the model is 8 in, then what is the actual length?

Which expression has an estimated product of 60?
(29.5) (1.7)
(13.2) (4.5)
(4.67) (9.8)
(7.3) (8.52)

PLEASE HELP

i need ideas for real life scenarios that pythagon theorem would be need

Which two teachers received equivalent ratios of apples from their total number

of students?

Teachers, Received apples, Number of students

Brown ---------2---------------------------------28

Hearn ------------3-------------------------------------------- 42

Smith -----------------3 ----------------------------------------------46

Theodore -------------4---------------------------------- 48

HELP ASAP PLEASE!! What is the scale factor from triangle ABC to triangle A'B'C'?

Can someone pls help me I will give u brainliest if you do
1. A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

a. Write an equation that describes all possible numbers of questions that may be on the test.

b. If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

please I need help ASAP.please and thank you

Please help me with at least one problem. Thanks

What is the mixed number that matches this model?

Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 +40. Her work is shown below.

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

84 + 40 = 2 (42 + 20)

What statement best describes Sari’s error?
Sari did not use correct factors for 84 in the equation.
Sari did not use correct factors for 40 in the equation.
Sari did not use two equivalent expressions in the equation.
Sari did not use the greatest common factor in the equation.

he graph shows the number of boxes a machine package over time is the relationship proportional how many boxes does the machine package in 4 minutes

What value of x makes the equation true? 0.25x + .5x 4 3 = 0 + 5 2

A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall?

The function f(x) is shown on the graph.

On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).

What is f(0)?

0 only
–6 only
–2, 1, 1, and 3 only
–6, –2, 1, 1, and 3 only