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finlep [7]
3 years ago
10

The 3rd term and 7th terms of an arithmetic progression are 6 and 30 respectively

Mathematics
2 answers:
den301095 [7]3 years ago
8 0

Hi there!

The key feature of an arithmetic progression is that the change between each term is the same. Let's first calculate this amount of change, known as the common difference.

We can see that there are 4 terms between the values of 6 and 30, as 7 - 3 = 4. By subtracting 6 from 30, and getting 24, we then see that when 4 terms pass, 24 passes. Dividing 24 into 4 equal pieces gets us 6 for each term. Thus, this means that the common difference is 6.

Now, we can calculate the first and 10th term based off this. We know the 3rd term is 6. The first term is 2 terms behind this. With a common difference of 6, this means that the first term is 12 behind 6, or -6.

For the 10th term, we know the 7th term is 30. We know the 10th term is 3 terms after the 7th term. With a common difference of 6, this means the 10th term is 18 after 30, or 48.

Thus, this means the common difference is 6, the first term is -6, and the tenth term is 48.

Hope this helps! Feel free to let me know if you have any additional questions about this specific problem.

matrenka [14]3 years ago
5 0

Answer:

Step-by-step

Create an algebraic equation. 6N-12. 6x1 - 12 = -6. So -6 is the first term.

6x10-12 = 48. So 48 is the 10th term

Hope it helps

Sorry if it’s unclear

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beks73 [17]
The angle and the side are equal.
5 0
3 years ago
By using a number line, arrange each of the each of the following in descending order (a) 4 29upon 33, -2.365,5.5,-3 upon 4 (b)
Sergeeva-Olga [200]

The arrangement of the numbers in descending order (largest to smallest) are as follows;

  • a). 5.5, 4, 29/33, -3/4, -2.365
  • b). 10, 5.855, 5/8, 1/2 -2π, -8

<h3>What is the arrangement of the numbers in descending order in each case?</h3>

It follows from convention that the positive numbers are larger than negative numbers and hence, should appear before negative numbers when the arrangement is in descending order.

Consequently, the numbers can be evaluated and arranged as in the answer above with positive numbers increasing rightwards and negative numbers decreasing leftward of 0 on the number line.

Read more on number line;

brainly.com/question/4619309

#SPJ1

6 0
2 years ago
Whats is the diference of:
grandymaker [24]

Answer:

2h^2

Step-by-step explanation:

=> (10h^4+h^2)-(10h^4-h^2)

=> 10h^4+h^2-10h^4+h^2

=> h^2+h^2

=> 2h^2

7 0
3 years ago
A micro-photograph of a human hair shows the hair magnified 150 times. If the hair is
stepan [7]

Answer:

<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.

The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.

The hair can be seen 2 cm wide in the photograph.

Converting to millimeters, 2 cm = 2*10 = 20 millimeters.

The actual width of the hair is 20 / 150 = 0.13 mm

6 0
2 years ago
a map of South Carolina is being made to a scale of 1/2 inches equals 50 miles. Greenville is 230 miles from Myrtle beach. how f
Olin [163]
All you have to do here is multiply 230 by .5 and you get 115.

They are 115 inches apart on the map.

Hope this helped! :)
7 0
3 years ago
Read 2 more answers
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