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Mathematics

1 answer:

AveGali [126]3 years ago

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Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

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HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!

IgorC [24]

Answer: Choice C

$\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}$

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Explanation:

There are four marked points on the line.

Each point is of the form (x,y)

The first or left most point is (0,1)
The second point is (2,2)
The third is (4,3)
The fourth is (6,4)

Each of these points is then listed in the table format as shown above.

There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).

Extra side notes:

The slope of this line is m = 1/2 = 0.5
The y intercept is 1 located at (0,1)
The equation of this line is y = 0.5x+1

8 0

2 years ago

Read 2 more answers

What is x equal to? 3(x + 5) = 2(3x + 18)

Anna [14]

3(x + 5) = 2(3x + 18)
Use the distributive property:
3(x)+5(3)=2(3x)+18(2)
Simplify:
3x+15=6x+36
6x+36=3x+15
3x+36=15
3x=-21
x=-7

Check answer:
3(-7+5)=2(-21+18)
3(-2)=2(-3)
-6=-6

Hope this helps :)

7 0

3 years ago

Read 2 more answers

The family's covered wagon was 6.5 feet wide, 12 feet long,

IgorLugansk [536]

Answer:

V=273

Step-by-step explanation:

V=L*W*H

V=12*6.5*3.5

V=273

5 0