Answers
Answer:
F(1) represents the first term of the sequence.
Step-by-step explanation:
Let us suppose the sequence function
[tex]F(n) = 16-3n[/tex]
We can find the first term of the sequence by substituting n=1 in the function sequence
[tex]F(1) = 16-3(1)[/tex]
[tex]= 16-3[/tex]
[tex]=13[/tex]
We can find the 2nd term of the sequence by substituting n=2 in the function sequence
[tex]F(2) = 16-3(2)[/tex]
[tex]= 16-6[/tex]
[tex]=10[/tex]
We can find the 3rd term of the sequence by substituting n=3 in the function sequence
[tex]F(3) = 16-3(3)[/tex]
[tex]= 16-9[/tex]
[tex]=7[/tex]
So the first three terms of the sequence is:
13, 10, 7...
As the common difference is the same.
i.e. d = 10-13 = -3, d = 7-10 = -3
Hence, it is an Arithmetic sequence.
As the first term is 13, which can be obtained by putting n=1 in the function sequence.
Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.
Related Questions
Alyssa has 2.1 meters of ribbon to make bows. She needs to make 3 bows. If she uses an equal amount of ribbon for each of her bows, and uses all of the ribbons she has, how much ribbon will she use for each bow?
Use the Math Learning Center App, Number Pieces to show your thinking using place value blocks. Enter your answer and explain how you used the place value blocks to model the problem.
Answers
Answer:
0.7 ribbon
Step-by-step explanation:
To find how much is needed, use division.
So, to show your work:
2.1 divided by 3 = 0.7
I hope this is what you were looking for and I hope this is the correct answer for you!!! :)
what is the inverse of R(x)= 2(4x)
Answers
Answer:
The inverse function is y=x−24 .
Step-by-step explanation:
Q6: 24 students in a class took an algebra test.
If 18 students passed the test, what percent passed?
Answer:
%
Answers
Answer:
25%
Step-by-step explanation:
18/24 passed that reduces 3/4.
So 1/4 didn't pass
Solve for the value of y.
Answers
Answer:
y=6
Step-by-step explanation:
add both expressions together. 14y+6. Then set this equal to 90, because this is a 90 degree angle. Solve for y. 84=14y. y=6
Step-by-step explanation:
90= 6y+5+8y+1
14y=84
y=6
the equation of the line that has a slope of
-23 that passes through the point (5, 1). Which form did you choose to write the equation in and why?
Answers
1 = -23(5) + b
1 = -115 + b, b = 116
Y = -23x + 116
I choose the slope intercept form since it was easy to calculate. The slope was given, you just need to plot in the points to find the y- intercept.
Answer:
I used the y=Mx+b equation because it has a good job showing each of the elements in the equation.
Step-by-step explanation:
The slope is -2/3 so if you add it to (5,1) it would be (3,4) as you just add three and subtract to to the point. I’m going to use for this equation as it is more simple and it gives a good job showing what each element is in the equation. M is the slope, so now we have y= -2/3x +b. To find b, substitute x and y for a point on this line which I will use the point (3,4) for. Now, multiply -2/3 by 3 and you will get -2 after. Now you have 4=-2+b which the answer would be 6.
This is just an example of finding the equation, which form I used, and why.
The drop down option for the least minimum is k,g,f,h & the maximum options are h,g,k,f
Answers
1 is the answer OR h
How many solutions does this equation have?
8(k - 6) +58 = 2(4k + 5)
infinite solutions
OA
Ов
Ос
no solutions
one solution
Answers
Answer:infinite solution
8(k - 6) + 58 = 2(4k + 5)
⇔ 8k - 48 + 58 = 8k + 10
⇔ 10 = 10
=> infinite solution
Step-by-step explanation:
Plz help out!! And no this is not a test :)
Answers
9514 1404 393
Answer:
B = (-4, 5)
Step-by-step explanation:
Reflection over the origin changes the signs of the coordinates.
(x, y) ⇒ (-x, -y)
(4, -5) ⇒ (-4, 5)
Point B is (-4, 5).
Answer:
(-4,5)
Step-by-step explanation:
i do not know
i do not know
i do not know
i do not know
If h(x) = [tex]\frac{2x+7}{x}[/tex] find [tex]h^{-1} (x).[/tex]
Answers
Answer: The answer is [tex]h^{-1}(x)=-\frac{7}{2-x}[/tex]
Step-by-step explanation: You meant to say that I was finding the inverse, so to find the inverse, interchange the variables and solve for y.
Find at least one solution to the following equation:
sin(x
2 − 1)
1 − sin(x
2 − 1) = sin(x) + sin2
(x) + sin3
(x) + sin4
(x) + · · ·
Answers
For |x| < 1, we have
[tex]1+x+x^2+\cdots=\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}[/tex]
We have |sin(x)| ≤ 1, with equality when x = ± π/2. For either of these, the right side of the equation does not converge, since it's either an infinite sum of 1s or an infinite alternating sum of 1 and -1.
So for |sin(x)| < 1, we have
[tex]\sin(x)+\sin^2(x)+\sin^3(x)+\cdots=\dfrac1{1-\sin(x)}-1=\dfrac{\sin(x)}{1-\sin(x)}[/tex]
so the equation is equivalent to
[tex]\dfrac{\sin(x^2-1)}{1-\sin(x^2-1)}=\dfrac{\sin(x)}{1-\sin(x)}[/tex]
One obvious set of solutions occurs when x = x² - 1 :
x² - x - 1 = 0 → x = (1 ± √(5))/2
i.e. the golden ratio φ ≈ 1.618 and 1 - φ ≈ 0.618.
x+5y=20
x+3y=14
x=
y=
Answers
Answer:y = − 1 5 x + 4
Step-by-step explanation:
x + 5y = 20
x + 3y = 14
Subtract both equations
2y = 6
y = 3
Plug in 3 for y and solve for x
x + 5(3) = 20
x + 15 = 20
x = 5
In conclusion, x = 5, y = 3
which is greater 5.8 or fifty eight hundreds
Answers
Answer:5.8
Step-by-step explanation:
Answer:
The answer is fifty eight hundreds. This is because it is the same as 5800.
Step-by-step explanation:
If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!
Zayd can row 3/8 of a mile in 1/4 of an hour. What is the unit rate the describes the miles per hour?
Answers
Answer:
1.5mph
Step-by-step explanation:
Given parameters:
Distance sailed = [tex]\frac{3}{8}[/tex]miles
Time taken = [tex]\frac{1}{4}[/tex]hr
Unknown:
Unit rate of sail in miles hour = ?
Solution:
This is also the speed of the sail. It is the distance divided by time taken.
Speed = [tex]\frac{distance}{time}[/tex]
Speed = [tex]\frac{\frac{3}{8} }{\frac{1}{4} }[/tex]
Speed = [tex]\frac{3}{8}[/tex] x 4 = 1.5mph
Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6
Answers
Answer: No
Step-by-step explanation:
The range and the Domain aren’t equal
Evaluate the expression 3x for x = 7
Answers
Answer:
3(7)
the answer is 21
Step-by-step explanation:
Answer:
the answer is 21.
what is 7-(2x+1)+4x simpilist form
Answers
Saturday morning, 55% of the customers at The Gap spent over $50. If there were 300 customers at The Gap that morning, how many of them spent more than $500 ?
Answers
Answer:
165 customers spent more than $500.
Step-by-step explanation:
If you ment to put $500 for both, then you have to multiply 300 by 55%. This will give you 55% of 300 which is the amount of people that spent more than $500. You multiply them to get your answer.
(a–3b)(a+3b)+(2a–3b)2–4a(b–a)
Answers
Answer:
Step-by-step explanation:
5a²-9b²+4a-6b-4ab
Please answer C and D please ! I would love you forever !!!!
Answers
Answer:
First i need you to tell me the pattern and then i will help you :)
Step-by-step explanation:
-4/1
-1/0
2/1
5/2
8/3
or put then as ratios the same way i am not so sure
Answer:
Do you love me?
Step-by-step explanation:
What is the product of the polynomials below?
(5x2 - x-3)(2x+6)
A. 10x3 + 28x2 + 12x +18
B. 10x2+28x2 + 12x +3
O C. 10x2 +28x2 - 12x-18
D. 10x2 +28x2 - 12x-3
Answers
Please help me, please
Answers
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[tex] - 5 \: \: and \: \: 3[/tex]
Look :
[tex] - 5 + 3 = - 2[/tex]
[tex] - 5 \times 3 = - 15[/tex]
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Answer:
-5 and 3
Step-by-step explanation:
because -5 + 3 = -2 and -5 X 3 = -15.
-5 is bigger in -5 + 3 so your answer would be negative.
and for the multiplication on use the sleeping dog - - + you have a negative and a positive so the answer would be negative.
what is the slope of (-3,-5) (-2,-2)
Answers
Answer:
m=3
Step-by-step explanation:
plz help on this one
Answers
Answer:
60°
Step-by-step explanation:
Because of the rule that all triangle's angles must measure to 180°.
So I did...
60+60=120
180-120= 60
Answer
60 degrees
Step-by-step explanation:
A triangle is 180 degrees. So if you add both 60 degrees it would equal 120, substracted by 180 and you'll get 180. Or if you want to go the faster way, remember that a triangle will equal 180.
solve what is 1/2 x 15
Answers
Answer:
7.5
Step-by-step explanation:
it's basically just 15 divided by 2
The equivalent value of the expression (1/2 x 15) is 7.5.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is to solve the expression as -
1/2 x 15
We can write the expression as -
{x} = 1/2 x 15
{x} = 15/2
{x} = 7.5 x 2/2
{x} = 7.5
Therefore, the equivalent value of the expression (1/2 x 15) is 7.5.
To solve more questions on expressions, visit the link below -
https://brainly.com/question/27911936
#SPJ5
rewrite in simplest terms. 8(-5d-9) -3(-6d+10)
Answers
Answer:
− 22 d − 102
Step-by-step explanation:
The results of a survey of customers at PetSmart showed that 27 owned dogs, 38 owned cats, and 16 owned both dogs and cats. How many people were surveyed?
Answers
Answer:
81 people
Step-by-step explanation:
addition pretty much
PLEASE HELP
If triangle ABD similar to triangle EFG , find BC and FH. Options are in the picture ^^
Answers
Answer:
B. BC=12, FH=9
Step-by-step explanation:
no clue tbh but it worked
Four groups of students will clean a total of 3.25 miles of the trail along Lady Bird Lake. Each group will clean the same length of the trail. What length of the trail will each group clean?
Answers
please help me i would appreciate it greatly
Answers
Answer:
I would put B
Sorry if it's wrong I would have to know what the test is about to answer this
Step-by-step explanation:
Step by step:
a^20-10
a^10
Find the value of f(-3).
Answers
Answer:
It's 27
Step-by-step explanation: