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Nataly [62]
2 years ago
11

4, 16, 36, 64 is this a arithmetic sequence?

Mathematics
1 answer:
NemiM [27]2 years ago
8 0

Answer:The terms are given by the formula

a

n

=

4

n

2

where

n

=

1

,

2

,

3

,

...

Step-by-step explanation:Write out the original sequence:

4

,

16

,

36

,

64

Write out the sequence of differences of the sequence:

12

,

20

,

28

Since this is not constant, the sequence is not arithmetic.

Write out the sequence of differences of that sequence: 8,8

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an algebra teacher drove by a farmyard full of chickens and pigs.the teacher happened to notice that there were a totals of 100
LiRa [457]
I'll be honest, this is a pretty interesting question. I've never seen anything like it before!

We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:

p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)

We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270

I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:

2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;

2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:

2c + 4p = 270
-2c -2p = -200
___________
2p = 70

Divide both sides by 2:
p = 35

Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:

c + 35 = 100
Subtract:
c = 65

There are 35 pigs and 65 chickens
-T.B.
3 0
3 years ago
If a planet takes longer to travel around the sun, than earth, what has changed?
Crazy boy [7]

Answer:

the years are longer

Step-by-step explanation:

the planets days and nights length depends on its tilt and rotation speed. so it has nothing to do with that. A and C are wrong

the longer it takes to revolve around the sun the longer the year is, so its not B

4 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (10, 3) and (2, 3) ?
Margarita [4]
Slope: (y2-y1)/(x2-x1)
(3-3)/(2-10) = 0/-8 = 0
The slope is 0
3 0
2 years ago
Read 2 more answers
PLEASE HELP ME I DONT UNDERSTAND THIS
ruslelena [56]

Answer: B or the Second graph right next to the first one.

Step-by-step explanation: Graph by using a few selected points... Horizontal Asymptote - y=7.

x----------y

0        -118

5 0
3 years ago
Please tell me the steps to this problem. i will give brainliest
gayaneshka [121]

Option C: -3 is the average rate of change between x=-1 and x=1

Explanation:

The formula to determine the average rate of change is given by

Average rate of change = \frac{y_2-y_1}{x_2-x_1}

We need to find the average rate of change between x=-1 and x=1

Thus, from the table, we have,

x_1=-1 , y_1=5

x_2=1 , y_2=-1

Thus, substituting these values in the formula, we get,

Average rate of change = \frac{-1-5}{1+1}

                                        =\frac{-6}{2}

                                        =-3

Thus, the average rate of change between x=-1 and x=1 is -3.

Hence, Option C is the correct answer.

6 0
2 years ago
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