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Oliga [24]
3 years ago
14

This is an example of an arithmetic series: 6 + 8 + 10 + 12 + . . . + (4 + 2n) + . . .

Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

True. A series is arithmetic if its terms come from an arithmetic sequence.

And a sequence is said to be arithmetic any of its two consecutive terms differ by a fixed difference, common to any consecutive pair.

As you can see, in this case, all terms differ by 2, so the sequence

6,\ 8,\ 10,\ 12,\ \ldots,\ 4+2n

is arithmetic, and thus the series

6 + 8 + 10 + 12 + \ldots + (4+2n)

is arithmetic as well.

You might be interested in
Find the constant of proportionality for the table of values.
Anna [14]

The constant of proportionality k is 3.5

Step-by-step explanation:

Proportionality describes any relationship that is always in the same

ratio

If two quantities x and y are in proportionality, then

1. y ∝ x

2. y = k x , where k is the constant of proportionality

∵ x ⇒    6    ,    7      ,    8    ,    9

∵ y ⇒    21   ,   24.5 ,    28  ,    31.5  

∵ y ∝ x

∴ y = k x

- Use x = 6 and y = 21 to find the value of k

∵ x = 6 and y = 21

∴ 21 = k (6)

- Divide both sides by 6

∴ k = 3.5

- Use x = 7 and y = 24.5 to find the value of k

∵ x = 7 and y = 24.5

∴ 24.5 = k (7)

- Divide both sides by 7

∴ k = 3.5

- Use x = 8 and y = 28 to find the value of k

∵ x = 8 and y = 28

∴ 28 = k (8)

- Divide both sides by 8

∴ k = 3.5

- Use x = 9 and y = 31.5 to find the value of k

∵ x = 9 and y = 31.5

∴ 31.5 = k (9)

- Divide both sides by 9

∴ k = 3.5

The constant of proportionality k is 3.5

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
What is the ratio of 24 to 32
lubasha [3.4K]
It is 3 to 4
you find the GCF of 24 and 32 which is 8. then divide 24 and 32 by 8 to find the ratio
6 0
3 years ago
Read 2 more answers
PLEASE HELP ME OUT IM FAILING MATH‍♂️ Thx
OleMash [197]

Answer: -1 < x < 1

Step-by-step explanation: Solve for x.

Graph line is down below!

Hope this helps you out! ☺

-Leif-

3 0
2 years ago
Cole says that all quadrilaterals are polygons but not all polygons are quadrilaterals is he correct explain������
zepelin [54]
YES, this is correct. All quadrilaterals whether is a trapezoid, parallelogram, rhombus and others, they are all polygons and all they have 4 sides and 4 angles. We know that a polygon is a figure with at least three sides and three angles.

Not all polygons are quadrilateral, this is also correct since some polygons have five or more sides and angles.
7 0
3 years ago
According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 f
hjlf

Answer:

Number of families will have both radio and television = 44

Step-by-step explanation:

Given:

Number of family have radio = 794

Number of family have TV = 187

Number of family haven't both = 63

Find:

Number of families will have both radio and television

Computation:

Number of families will have Tv or radio = 1,000 - 63

Number of families will have Tv or radio = 937

Number of family have one of them = 794 + 187

Number of family have one of them = 981

Number of families will have both radio and television = 981 - 937

Number of families will have both radio and television = 44

4 0
3 years ago
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