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ddd [48]
3 years ago
13

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
Answer: Only the second sequence is arithmetic. 

Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence. 
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term. 
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term. 
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If EF=9x+14, FG=56, and EG=250, find the value of x.
nexus9112 [7]

Answer:

Value of x =20

Step-by-step explanation:

Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.

Segment Addition Postulates states the following for 3 points that are collinear.

i.e, Let three points A, B and C are collinear and B is between A and C.

i,e AC = AB + BC

By Segment addition postulates; solve for x;

EG = EF + FG

Substitute the given values we get;

250 = 9x + 14 + 56

or

250 = 9x + 70

Subtract 70 on both sides we get;

250 -70 = 9x + 70 -70

Simplify:

180 = 9x

Divide both sides by 9 we get;

\frac{180}{9} = \frac{9x}{9}

Simplify:

x = 20

Therefore, the value of x =20


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Step-by-step explanation:

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What is the slope of the line that passes through the points (-3,1) and (7,-14)
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Answer:

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Step-by-step explanation:

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