Find an explicit formula for the arithmetic sequence -5, 13, 31,
49,....
Note: the first term should be b(1).
B(n)=(blank)
Answers
Answer:
b(n) = -23 + 18n
Step-by-step explanation:
NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.
The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.
Since you have b(1), you look at what your first term is. Plug -5 into a(1).
To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.
So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)
All we need to do now is simplify.
1. Distribute: -5 + 18n - 18
2. Add like terms: -23 + 18n
Hope this helped and made sense lol.
Related Questions
4x+a=4x+3. How do you get to 6? Please explain and write down like you would write on paper.
Answers
Answer:
a=3 x= all reals
Step-by-step explanation:
I actually did not get 6 for an answer
4x+a=4x+3
cancel equal terms on both sides of the equation
a=3
which means the x would be all reals cause it is true.
write the equation fully simplified slope intercept form
Answers
Answer:
y = -1/5x - 1
Step-by-step explanation:
The line crosses the y axis at -1, making it the y-intercept.
Since the line is going downwards from left to right, we know that it is a negative slope.
The line goes down one and 5 right. That makes the slope -1/5.
The equation is y = -1/5x - 1
Show whether or not the points with coordinates (1,3) (4,2) (-2,6) are vertices of a right triangle
Answers
Answer:
No
Step-by-step explanation:
See attached
the length width and height of a box form an arithmetic sequence. if the surface area of the box is 365.04 square units and the box's smallest dimension is 3 units, what is the volumes of the box in cubic units?
Answers
Answer:
the answer will be 365.04÷3
=121.68
which is the distance between the point with the coordinates (-2,3) and the line with the equation 6x-y=-3
Answers
Answer:
I think it is 6x+3=y (y=6x+3)
please help as soon as possible
Answers
Answer:
∠ABC = 54°
Step-by-step explanation:
an inscribed angle is 1/2 the size of an incenter angle.
so:
∠AMC = 2(∠ABC)
10x - 12 = 2(4x + 6)
10x - 12 = 8x + 12
simplify:
2x = 24
x = 12
∠ABC = 4(12) + 6 = 54°
Given a polynomial f(x), if (x − 4) is a factor, what else must be true? f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0
Answers
Question:
Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0_______________________________________
Solution:
f(x) is a polynomial.
(x - 4) is a polynomial of f(x).
By converse of factor theorem: If (x - a) is a factor of f(x), then, f(a) = 0.
On comparing (x - 4) with (x - a), we get,
a = 4So,
f(a) = 0
=> f(4) = 0
If cost of 15 eggs is ? 75, then find out the cost of 4 dozens eggs.
Answers
Answer:
Each egg is $5 so 4 dozen(48) is $240
Step-by-step explanation:
the way to do this is 75/15= 5
and then you multiply 12 x 4 to get 48 eggs
and then multiply 48 x 5 to get $240
15:75
divide each by 5
3:15
(4 dozen is 48 -> 48/3 = 16)
multiply each by 16
48: 240
240The MTC Theater holds 250 people, and last night’s performance sold out! Students paid $3.00 per ticket, while adults paid $5.00 per ticket. Last night’s show brought in $1050.
Write a system of equations for the problem.
Answers
9514 1404 393
Answer:
s + a = 2503s + 5a = 1050Step-by-step explanation:
Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...
s + a = 250 . . . . . . total of tickets sold
3s +5a = 1050 . . . dollar value of tickets sold
_____
The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.
Help me find out it.
Answers
Answer: The answer is 36
find AB and BC with the help of given in figure complete following activity
Answers
Answer:
let base side be x=AB=BC
by using Pythagoras law
h²=p²+b²
(√8)²=x²+x²
8=2x²
x²=8/2
x=√4=2=AB=BC
Step-by-step explanation:
sin BAC=BC/AC
<BAC=sin-¹(2/√8)=45
how would i graph
y=− 5/2x-3
and
x−y=−4
(_,_)
Answers
Given:
The system of equations is
[tex]y=-\dfrac{5}{2}x-3[/tex]
[tex]x-y=-4[/tex]
To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for [tex]y=-\dfrac{5}{2}x-3[/tex] is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for [tex]x-y=-4[/tex] is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).
PLEASE HELP ME WILL MARK BRAINLIEST!!
Answers
Answer:
A line segment
Step-by-step explanation:
May i get some help with a step by step concept of the first question please
Answers
9514 1404 393
Answer:
J 3/4 cup
Step-by-step explanation:
Step 1: read and understand the question.
The question is giving you amounts of flour and 2 types of sugar.
The question is asking for a difference between two quantities:
the amount of flour (2 1/4 cups)the combined amount of sugar (3/4 cup white, 3/4 cup brown)Step 2: determine the relations you need to use to solve the problem
You need the combined amount of sugar, which you find by adding the quantities of each of the kinds.
3/4 cup white + 3/4 cup brown = 6/4 cup sugar combined
You need the difference of that quantity from the quantity of flour, which you find by performing subtraction:
flour - sugar = (2 1/4) - (6/4) . . . . cups
Step 3: Use your knowledge of arithmetic.
(2 1/4) -(6/4) = 9/4 -6/4 = (9 -6)/4 = 3/4
Step 4: Answer the question that was asked.
The difference between the flour and sugar amounts is 3/4 cup.
Please help find the volume in inches
Answers
Answer:
504 inches^3
Step-by-step explanation:
you multiple the height x length x width
Simplify |-5 - 3| + (-8)
-10
-16
0
Answers
Answer:
The correct answer is option C.
Step-by-step explanation:
1) Simplify -5 - 3 to -8.
[tex] | - 8| - 8[/tex]
2) Simplify | -8 | - 8 to 8.
[tex]8 - 8[/tex]
3) Simplify.
[tex]0[/tex]
Therefor, the answer is Option C. 0.
Answer:
0
Step-by-step explanation:
|-5 - 3| + (-8)
First simplify the absolute value
|-5 - 3| = |-8| and absolute value is positive so 8
8 + (-8) =0
for the equation below y=2.5^x-6
what is the y intercept of the graph
a) -6
b) -5
c) -3.5
d) 2.5
Answers
Answer:
kvh
Step-by-step explanation:
m
A stack of 6 books weighs 4.8 pounds. If each book weighs the same amount, how much does each book weigh?
Answers
Answer:
Each book weights .8 pounds
Step-by-step explanation:
Take the total weight and divide by the number of books
4.8 /6
.8 lbs
Each book weights .8 pounds
Alan has read 70% of a book and he has 15 pages left to read. How many pages are in the book
Answers
Answer:
Step-by-step explanation:
what is the area of a trapezoid that has a height of 12 and it’s parallel sides measure 15 and 20? Show the steps in your work.
Answers
Answer:
Area of trapezoid = 210 unit²
Step-by-step explanation:
Given:
Height = 12 unit
Parallel side a = 15
Parallel side b = 20
Find:
Area of trapezoid
Computation:
Area of trapezoid = [(a+b)/2]h
Area of trapezoid = [(15+20)/2]12
Area of trapezoid = 210 unit²
Use the diagram to solve for x.
Answers
Answer:
8
Step-by-step explanation:
You know that the horizontal lines are parallel to each other.
The 8 and x is both on that diagonal right there. Since the horizontal lines are parallel, that means the angle of 8 should have the same angle as x.
*I forgot what this thing was called but please trust me i learned this before*
what type of angels are shown
Answers
Answer:
? and 46 degrees are same side interior angles.
They are supplementary in that their sum is 180 degrees.
FYI: ? = 180-46 = 136 degrees
(c)x(c)x(c)x(c)x(c)x(c)?
Help please
Answers
Am I suppose to simplify...
Not sure what the question
Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown
Carlos: 2(14x - 4)
Danny: 7(4x - 1)
Irene: 4(7x - 2)
Which student(s) offered answer(s) equivalent to the original expression?
Answers
Explanation
Equivalent expression for the given expression is
4(7x-2)
Irene offered answer equivalent to the original expression
Given :
Mrs. Crosland asked students to factor the expression 28x - 8
The student are given some expression . To find correct expression , we need to factor the given expression
[tex]28x-8[/tex]
Both 28 and 8 are divisible by 4
Lets factor out 4 from the given expression.
When we factor out 4, then we divide each term by 4
[tex]28x-8\\4(\frac{28}{4} -\frac{8}{4} )\\4(7x-2)[/tex]
The students offered the answers shown
Carlos: 2(14x - 4)
Danny: 7(4x - 1)
Irene: 4(7x - 2)
so , from the answer we can say that Irene offered answer equivalent to the original expression
Learn more : brainly.com/question/22345708
-3x + y = 1 4x + y = 8
Answers
-3x+y=1
/-3 /-3
x+y=-1/3
4x+y=8
/4 /4
x+y=8
---
hope it helps
Answer:
x=-1y-9
Step-by-step explanation:
Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3years?
Answers
What number is 16% of 46? Which equation and solution represents each situation?
Answers
Answer:
the answer to this question is 7.36....its equation is 16/100*46
Answer:
7. 36 is the answer.
Step-by-step explanation:
but, what equation, and what situations?
Solve the system by graphing.
y = −x + 2
y = −4x − 1
The solution of the system is
Answers
Answer:
(-1,3)
Step-by-step explanation:
If x=7 and y=-3 xy/3 + 2
Answers
Answer:
-5
Step-by-step explanation:
x = 7
y = -3
[tex]\frac{xy}{3} +2\\\\\frac{7(-3)}{3} +2\\\\\frac{-21}{3} +2\\\\-7+2\\-5[/tex]
Calculate the area of the shape below
3 1/2
Answers
Answer:
option B by using formula of area of circle.