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erik [133]
2 years ago
6

here are some numbers: 8, 11, 13, 18, 25, 37 8, 13 , 18 is an arithmetic progression and the rule is to add 5 use three of the n

umbers to make a different arithmetic progression Describe the rule
Mathematics
1 answer:
Yuliya22 [10]2 years ago
5 0

Answer:

Progression: 11, 18, 25

Rule: Add 7

Step-by-step explanation:

Given

List of numbers: 8, 11, 13, 18, 25, 37

Sample Progression: 8, 13, 18; with common difference of 5

Required

Form a different progression using any three listed numbers

To solve this; we'll make use of trial and error methods;

<em>NB: I've tried several numbers; So, I'll just stick to the one that works</em>

To start with;

Select ->11

Add 7 to 11: 11 + 7 - > 18

Add 7 to 18: 18 + 7 -> 25

With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7

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If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
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We can find the other angles becuase one is 90° and the other is:
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We now have diagram 2, nicely simplified so we can see where to go.
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8 0
3 years ago
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Answer:

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