Step-by-step explanation:
every new term is created by adding a constant (I call here x) to the previous term.
a1 = b
a2 = c = a1 + x = b + x
a3 = a2 + x = a1 + 2x = b + 2x
so, we see
an = a1 + (n-1)x = b + (n-1)x
from a1 and a2 we know
c = b + x
x = c - b
so, ultimately we have
an = b + (n-1)(c-b)
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term of an arithmetic sequence is b and the second term is c.
a₁ = b
a₂ = c
Then the common difference is given as,
d = a₂ - a₁
d = c - b
Then the explicit formula to find the nth term of the sequence will be given as,
aₙ = b + (n - 1) × (c - b)
aₙ = b + cn - c - nb + b
aₙ = cn - nb + 2b - c
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
More about the arithmetic sequence link is given below.
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Please help me
20 points
Answer:
1). Simplify the expression.
Exact Form:
( [tex]\frac{37}{25}[/tex] )
Decimal Form:
1.48
Mixed Number Form:
( [tex]1\frac{12}{25}[/tex] )
2). Simplify the expression.
91.46
3). Simplify the expression.
Exact Form:
[tex]\frac{17}{24}[/tex]
Decimal Form:
0.7083 ( bar notation)
4). Simplify the expression.
81.49
En la figura, BE y AD son segmentos, AB = 4 y AC = 3. Se puede determinar el perímetro del triángulo
CDE si:
Answer:
AD=7,BE=6,AB=4,AC=3.
lucio es un poco bromista al llegar a la tortearía dijo: me da dos tercios de torta y media el dependiente que si sabia matemáticas lo despacho correctamente
*Que cantidad de torta le dio?
*como resolviste el problema?
Answer:
Step-by-step explanation:
In the given case, we can conclude The customer received one and one-sixth (1 1/6) of a cake.
The question is asking us to determine how much cake the customer received. The phrase 'dos tercios' translates to 'two-thirds' in English. So, the customer received two-thirds of a cake.
Since the customer also received half of a cake, we can add these two quantities together: two-thirds + one-half.
In order to add these fractions, we need a common denominator. The least common multiple of 2 and 3 is 6. So, we can rewrite two-thirds as four-sixths and one-half as three-sixths. Adding these fractions together gives us seven-sixths (or one and one-sixth).
Therefore, the customer received one and one-sixth (1 1/6) of a cake.
Learn more about the topic of Addition of fractions here:
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The final amount of 893 decreased by 19% followed by a 17% decrease
Answer:
the answer is 600.36_____
Given trapezoid WXYZ, what is XY?
Answer:
XY = 16 ft
Step-by-step explanation:
The mid segment DE is half the sum of the parallel bases, that is
[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )
XY + WZ = 40
XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )
2XY + 3XY = 80
5XY = 80 ( divide both sides by 5 )
XY = 16
Is this answer right?
Answer:
yes
Step-by-step explanation:
Answer:
Your answer is correct! Good Job :)
Step-by-step explanation:
Domain and rangeeeeeee
Answer:
domain: -4 ≤ x ≤ 2
range: 2 ≤ y ≤ 6
Step-by-step explanation:
Hurry I will give brainlyest!!!!
What are the factors of this expression?
34xy
Drag all of the factors of the expression into the box.
Factors
3/4 -1 3 4 x y
34, x, y are factors of this expression.
- BRAINLIEST answerer
Which of the following could be a value for a bearing, written in the correct
format?
07°
0007°
007°
7°
Answer:007
Step-by-step explanation:Bearings are a measure of direction, with North taken as a reference.
If you are travelling North, your bearing is 000°, and this is usually represented as straight up on the page.
If you are travelling in any other direction, your bearing is measure clockwise from North.
How to find maxima and minima without derivatives.
Answer:
Finding out the relative maxima and minima for a function can be done by observing the graph of that function
Solve the equation.
-3x + 1 + 10x = x + 4
Ох:
x=
No
x=
x =
x = 12
x = 18
Answer:
x=1/2
Step-by-step explanation:
will give brainliest
Answer:
Steeper: y=-3/2x+1/2 AND y=-2x+7/3 AND y=-7/4x+3/2
Less Steep: y=-4/3x+2/3 AND y=-8/7x+4/7
Step-by-step explanation:
Hope this helps :)
Name the 5 Steps to solving equations and inequalities.
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation. ...
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
X According to a survey, 60 sixth grade students at Madison Middle School attended a summer camp. This is 30% of the entire sixth grade. How many students are in the sixth grade?
Answer: total is 200
Step-by-step explanation:
30% = 60
10% = 60/3 = 20
100% = 200
4 - (2x + 4) = 5
х=-10
x=-5/2
x=3/2
x=6
Answer:
x= - 5/2
Step-by-step explanation:
Answer:
x = -5/2
Step-by-step explanation:
4 - (2(-5/2) + 4) = 5
4 - (-5 + 4) = 5
4 - (-1) = 5
4 + 1 = 5
1/243 as an expression using a negative exponent other than -1
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is
pls help! NO LINKS I WILL REPORT YOU
Solve the slope for the table.
Answer:
Slope = -3
Step-by-step explanation:
8-17/0+3=-9/3=-3 : Slope Formula
I need help please..
Answer:
y=-1/2x+1
Step-by-step explanation:
the slope is -1/2 and y intercept is 1 so we plug it in to y=mx+b
pleaseeeeeeeeee helppppppppp meeeeeeeeeee
Answers:
FunctionNot a functionFunctionNot a function========================================
Explanation:
If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).
Relations 1 and 3 don't have this issue, so they are functions.
The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax
The elves have $120 to spend on boxes of candy canes and boxes of ornaments. Each box of candy canes costs $3.00
and each box of ornaments costs $12.00. Let x represent the boxes of candy canes and y represent the boxes of
ornaments. Write an equation that describes the number of boxes of candy canes and ornaments that the elves can
buy.
Answer:
[tex]3x + 12y = 120[/tex]
If this problem needs solved like the other one I answered with the reserved seats and general admission, it is done the exact same way as that one.
Kirk has already prepared 16.27 kilograms of dough and will continue preparing 5.88 kilograms of dough every hour. How many hours did Kirk work if he prepared 80.95 kilograms of dough
Answer:
11 hours
Step-by-step explanation:
First, you need to subtract 16.27 from 80.95 to get how many kilograms of dough he had prepared in that amount of time. 80.95-16.27=64.68. Then you would divide 64.68 by 5.88 to find the total amount of hours he worked. 64.68/5.88=11 hours of work.
(х + 5) + (х – 2)
3
7
оооо
2х + 3
2x +7
What’s the correct answer?
Answer:
the correct answer is 2x+3
Step-by-step explanation:
because your adding the (x) factors together then your adding a negitive to a positive so you would get a lower number
The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?
Answer:
s(c)= 4.4c
Step-by-step explanation:
can anyone help me ?
Find the missing angle measure.
Answer:
x° = 99°
Step-by-step explanation:
The polygon is a hexagon and the sum of its internal angles is:
[tex]180(n-2)=180(6-2)=180(4)=720^{0}[/tex]
subtract the 5 known angles:
[tex]x^{0} =720-145-164-59-132-121=99^{0}[/tex]
Hope this helps
six times a number is 21 less than nine times the same number find the number
Answer:
x = 7
Step-by-step explanation:
Algebra to Equation:"six times a number is 21 less" = 6x + 21
"nine times the same number" = 9x
Equation: 6x + 21 = 9x
Solve:6x + 21 = 9x [tex]\longmapsto[/tex] Subtract 6x from both sides
21 = 3x [tex]\longmapsto[/tex] Divide both sides by 3
7 = x
x = 7
-Chetan K
pls someone help me with this ixl question
Hi!
(5+d)+(-8)=(5+d)-8
Hence, this is the required solution.
~SparklingFlower :)
y/−7 = 1 /4 what does y =
Answer:
y = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
[tex]\frac{y}{-7}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )
4y = - 7 ( divide both sides by 4 )
y = - [tex]\frac{7}{4}[/tex]
What is the solution set of (x - 2)(x - 3) = 2?.