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Mariulka [41]
3 years ago
13

How can an expression or process be determined for an arithmetic sequence?

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0
An aritmetic sequcne is represented as

a_n=a_1+d(n-1)

where
an=nth term
a1=first term
d=common differnce, or how much each term increases by
n=which term



example

1,3,5, etc
first term is 1
common difference is 2 because it increases by 2 each time
so the formula would be
a_n=1+2(n-1)

if we had
5,3,1
first term s 5
common difference is -2 since it goes up by -2 each time
so formula is
a_n=5-2(n-1)



hope this helps
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A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents
Marizza181 [45]

Let us assume total capacity of the container = x pounds.

Container contains 1/6th coffee of total x pounds,  that is x/6 pounds.

We also given that 1/6th part is equal to 2/3 of a pound.

So, we could setup an equation now.

x/6 pounds equals 2/3 of a pound.

\frac{x}{6} = \frac{2}{3}

Dividing both sides by 1/6, we get

\frac{x}{6} ÷ \frac{1}{6} = \frac{2}{3} ÷\frac{1}{6}.

Therefore,  x = \frac{2}{3} ÷\frac{1}{6}

Division expression that represents the capacity of the container = 2/3 ÷ 1/6.


4 0
3 years ago
Find and sketch the domain of the function. f(x,y)=√(4-x^2-y^2) +√(1-x^2)<br>​
elena55 [62]

Answer:

Hello

Step-by-step explanation:

The domain is limited with 2 lines parallel: -1 ≤ x ≤ 1

and the disk ? (inside of a circle) of center (0,0) and radius 2

dom\ f(x,y)=\{(x,y) \in \mathbb{R} ^2 | \ -1\leq x \leq -1\ and \ ( -\sqrt{4-x^2}  \leq \ y  \leq \sqrt{4-x^2}\  ) \ \}\\

3 0
3 years ago
What's the sum of 14 and a number is equal to 17
horrorfan [7]
N - the number

14 + n = 17    |subtract 14 from both sides

n = 3
7 0
3 years ago
Read 2 more answers
Plz help<br> and explain
vovikov84 [41]
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
=(x+10)^2-x^2    [recall (a+b)^2=a^2+2ab+b^2
=x^2+20x+100-x^2
=20x+100   or 20(x+5)  if you wish.

8 0
3 years ago
Write the equation of the line in fully simplified slope Intercept form.
andre [41]

Answer:

y = -0.83x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b.

M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.

Now we have: y = -0.83x + b

B represents the y-intercept. The y-intercept here is -2. So our final equation is:

y = -0.83x - 2

8 0
3 years ago
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