Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answers
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Related Questions
Using the order of operations, what should be done first to evaluate 6 + 10-(-5)(3) - 5?
Answers
Answer:
(-5)
Step-by-step explanation:
Using PEMDAS you should do (-5) because Parenthisis Always Go First, since their are two parenthisis go left to right and answer those first. after that do (3) and after that simply go left to right with 6+10-(-5)(3)-5. Hope this helps.
What is the slope for the points (-2,-8) and (1,7)?
Answers
Answer:
5
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
7-(-8)/1-(-2)
15/3
5
Best of Luck!
I need a quick asnwer!!!
Answers
Answer:
third one
Step-by-step explanation:
Answer:
Its the third one you welcome
Step-by-step explanation:
$ 53.70 divided by two different friends
Answers
Answer:
$26.85
Step-by-step explanation:
53.70÷2= 26.85
Need help ASAP plzzzzz
Answers
Answer:
y=2x+1
Step-by-step explanation:
Input X=2 into the function, so y=2(2)+1, which is 5. This matches the table.
Answer:
It's the first one: y= 2x +1
Step-by-step explanation:
If you multiply 2 by 2, you'll get 4. then you add 1. You'll get 5.
same with the others-
If y=32 when x=8, find y when x=30.
Answers
*How to solve*
Step 1: Find how many times larger 30 is than 8
30/8= 3.75
Step 2: Multiply by y
32x3.75=120
Hope this helps comment below for more questions:)
Linear equations- please help me
−5(5x+3)−5x+1=−44
Answers
Add the numbers
Combine like terms
Add
to both sides of the equation
Simplify
Divide both sides of the equation by the same term
can someone help me
Answers
============================================================
Explanation:
Let's find the slope of the table. This will tell us the rate of change.
m = slope
m = (y2-y1)/(x2-x1)
m = (25250 - 26375)/(2 - 1) .... I used the first two rows
m = -1125/1
m = -1125
The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.
Since we're told the initial altitude was 27500 ft, this means b = 27500
This means y = mx+b turns into y = -1125x+27500
x is the number of minutes and y is the altitude at time x
As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.
------------------
Now plug in y = 16250 and solve for x
y = -1125x+27500
16250 = -1125x+27500
-1125x+27500 = 16250
-1125x = 16250-27500
-1125x = -11250
x = -11250/(-1125)
x = 10
It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.
Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.
A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.
Answers
Step-by-step explanation:
1) 43
2) 61
3) 79
4)97
5)115
Answer:
popoverlover20 is correct I got it right
Step-by-step explanation:
fifty-six thousandths in decimal form and standard form
Answers
0.056 is the decimal form and 56000.00 is the standard form.
What is the standard form of decimals?
'Decimal numbers in standard form are the simplest form, that can be easily read and written.'
According to the given problem,
The value of the digits to the right of the decimal point is less than 1
Hence we can conclude that decimal form is 0.056, Standard form is 56000.00.
Learn more about standard form of decimals here: https://brainly.com/question/18744986
#SPJ2
Suppose Adriana spends $ 73.00 dollars on T-shirts and pants. A T-shirt costs $5.50 and pants cost $25.50. This is an equation in two variables. What would be a solution (to the variable) above if she buys 2 pair of pants.
Answers
Answer:
She spent 51 dollars on pants and 22 on t-shirts so she bought 4 shirts
Step-by-step explanation:
pls help me TwT than u very much
Answers
Answer:
The answer is C
Step-by-step explanation:
Discrete is where its a whole number and does not continue.
There can only be a whole number of people. there cannot be half a person.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
A pack of 6 gatorades costs $4.50. What is the price per Gatorade?
Answers
Answer:
$0.75
Step-by-step explanation:
Given that a pack of 6 Gatorades costs 4.50, simply divide 4.50 by 6.
4.50/6=0.75
Thus, $0.75 is your answer.
(Please Mark Brainliest.)
0/-5 is a rational number which is
Answers
Answer:
0
Step-by-step explanation:
its a negative rational number
A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.
Answers
Answer:
A triangle has sides of lengths 9,7, and 12 is not a right triangle .
16) Avery selects two chips from a bag without looking at them. The bag has 5 green chips, 3 red chips, and 7 blue chips. What is the probability that he selects a red and then a blue chip (without replacing)? * 6 points 2/3 7/75 1/10 2/45
Answers
Answer: [tex]\dfrac{1}{10}[/tex]
Step-by-step explanation:
Given: The bag has 5 green chips, 3 red chips, and 7 blue chips.
Total chips = 5+3+7= 15
Number of ways to select a red and then a blue chip = 3 x 7 = 21
Total number of ways to select 2 chips without replacement = 15 x 14 =210
Required probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{21}{210}=\dfrac{1}{10}[/tex]
So, the probability that he selects a red and then a blue chip (without replacing) = [tex]\dfrac{1}{10}[/tex]
Rebecca buys a shirt for $38.
She finds out the shirt is 25% off
and there is 8% sales tax. If
Rebecca has $40, how much change
will she receive?
Answers
Answer:
$8.46
Step-by-step explanation:
This is assuming that the sales tax is applied on the pre discounted item.
259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
7 students can fit in a van, and 25 students can fit in a bus.
how many buses were there?
how many vans were there?
Answers
Explanation:
12 vans, 7 Buses
7 x 25 = 175
12 x 7 = 84
175 + 84 = 259
If one item cost $0.79 and I paid $3.16 at the register, how many items did I buy
Answers
Answer:
You bought 4 items.
Step-by-step explanation:
3.16 divided by 0.79 = 4
Answer:
You bought 4 items because 0.79 x 4 = 3.16
Step-by-step explanation:
Which describes the graph of y=(x+6)^2+1?
A. Vertex at (-6,-1)
B. Vertex at (6,-1)
C. Vertex at (-6,1)
D. Vertex at (6,1)
Answers
5x+6=2x+15 solve for x
Answers
Answer:
the answer is:
5x - 2x = 15 - 6
3x = 9
x = 3
Use the triangle angle-sum theorem and other angle relationships to find the missing angle measures
Answers
(90+40+x=180)
Second is 40 by the vertical angles theorem
Finally the third one is 45
Can someone please explain to me how to calculate your GPA and also on how to find out what your total grade points is... I stay confused
Answers
Answer:
Here is the explanation of how I was taught to do it :)
Step-by-step explanation: In its easiest form, an A=4, B=3, C=2, D=1, F=0.
If the class is 2 credit.......Multiply each numeric grade value by the number of credits the course was worth
Add these numbers together
Divide 45 by the total number of credits you took, in this example,13.
Your Weighted by Credit Hour GPA = 3.46
It depends on your school. Sorry this was not the most clear, I was taught like 2 years ago, and now I kinda forgot but hopefully this helps a lil dont get mad :)
Callie pays for a cat toy with a $10 bill and receives $2.55 in change. The equation 10 - c = 2.55 gives the cost in dollars for the cat toy. Determine whether c=6.45, c=7.45 or c=8.45 is a solution of the equation, and tell what the solution means. The
Answers
Answer:
c = 7.45
Step-by-step explanation:
its easy and im smart that's why i got it
Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.
Answers
Answer:
16.6
Step-by-step explanation:
help please? 26x-2(3x+4y)-10y
Answers
Answer:
20x-18y
Step-by-step explanation:
26x-2(3x+4y)-10y
26x-6x-8y-10y
20x-18y go doawnload the app photomath its a great tool
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answers
Answer:B if two lines are cut by a traversal, then corresponding angles are congruent.
Step-by-step explanation: the corresponding angles theorem proves this.
Solve the system using elimination.
3x + 2y = 13
X+ 5y = 13
Answers
Answer:
x=3 y=2
hope that helps
Can someone help me?
Answers
Answer: man ion know anything abt that hru
Step-by-step explanation:
Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.
Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.
Part B: How much would the repairs be if it took 3 hours?
Part C: What is the meaning of the slope in Part A?
Part D: What is the meaning of the y-intercept in Part A?
Answers
Answer:
a 75x+165=y
b 75(3)+165=390
c 75x is the cost increasing for each hour
d y-intercept=165, it cost at least 165 for the parts
Step-by-step explanation:
