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natta225 [31]
3 years ago
10

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

he first term. 50, 100, 150, 200, .
Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

50n

Step-by-step explanation:

This problem can be solved using concept of Arithmetic progression(AP)

In AP series

the series increases or decreases by certain number which is called common difference.

common difference d is given by

d= nth term - (n-1)th term

nth term = a + (n-1)d

where a is the first term of the series

thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d

_______________________________________

Given series

50, 100, 150, 200

a = 50

to find d lets use 3rd term as nth term and 2nd term as (n-1)th term

d = 150 -100 = 50

Thus,

nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n

50n can represent the position of the term of the sequence.

To validate this lets put n = 4

50*4 = 200 which is the same as the fourth term given in the series.

hence our solution is correct.

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Answer:

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rental fee = 12 + 4/hr

spent = 44

44 = 12+4(hr)

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5 0
3 years ago
The width-to-height ratio of a certain computer monitor
Mnenie [13.5K]
<h2>24 inches</h2>

Step-by-step explanation:

It is given that \frac{\textbf{width of computer monitor}}{\textbf{height of computer monitor}}=\frac{16}{9}

It is given that \text{height of computer monitor}=13.5

\text{width of computer monitor} =\text{height of computer monitor}\times \frac{16}{9}

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Hence the required width in inches is 24.

5 0
3 years ago
Help please! 20 points!
vladimir1956 [14]

x+100+3x=180\\4x=80\\x=20

5 0
3 years ago
Read 2 more answers
ASAP<br><br> Simplify the expression.<br><br> 5 + 6(2x – 3) – 4x
Pani-rosa [81]
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1. Distribute 6 to both 2x and -3
5+12x-18-4x
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The graph shows the value of a certain model of car compared with it's age. which statement is true?
s2008m [1.1K]

The only true statement is A:

"The data show a negative linear relationship."

<h3></h3><h3>Which statement is true?</h3>

On the graph, we can see how the car's vale decreases almost linearly with the age of the car.

Where the response variable would be the one on the y-axis, which is the car's value.

For that linear behavior, we know that there is a correlation coefficient different than zero. So options B, C, and D are false.

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If you want to learn more about data sets:

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