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Solnce55 [7]
3 years ago
13

The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of

the nth term
Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

The formula for the value of nth term is a_{n} = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the first term of the sequence
  • d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ a_{n}=a+(n-1)d

∴ a_{n}=4+(n-1)3

- Simplify it

∴ a_{n}=4+3n-3

∴ a_{n}=1+3n

The formula for the value of nth term is a_{n} = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

#LearnwithBrainly

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Analysis and observations in these two graphs
professor190 [17]

By critically observing the graph, we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:

  • The linear function is given by y = 0.0169x + 32.485.
  • The initial temperature for both data is greater than 32°C.
  • The final temperature for both data is less than 33.5°C.
  • Between 1980 and 2020, the temperature for graph 2 (thick-continuous line)  was constant.
  • Graph 1 (thin-dashed line) is essentially a linear graph.

In conclusion, there are four (4) points of intersection on this graph.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

7 0
1 year ago
2 y - 8 / 3 equals a + 3 B / 4 solving for y
zhuklara [117]
-2x+5
I am pretty sure
4 0
3 years ago
6/7 as a fraction divided by a whole of 12
ValentinkaMS [17]

Answer:

<u>(1/14)</u>

Step-by-step explanation:

(6/7)/(12)              <u>6/7 as a fraction divided by a whole of 12</u>

(6/7)/(12/1)

(6/7)*(1/12)

(1/7)*(1/2)

(1/14)

4 0
2 years ago
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Write 6,392,094,003 in word form
sattari [20]
Six billion three hundred ninety-two million ninety-four thousand and three
6 0
3 years ago
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What value of ‘W’ satisfies <br> 8(w+4)=38+7w<br> A. 8<br> B.6<br> C.11<br> D. 4.5
dlinn [17]
B. 6

Explanation: 8(6+4)= 80
38+ 7(6)= 80
5 0
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