Arrange the numbers in the ascending order: 3/4,1/12,9/16,7/24
1 answer:
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Answer:
20 units²
Step-by-step explanation:
I have included the answer as well as an explanation and formula above. Note that the formula is only for area of trapeziums/trapezoids
Pattern is the rule that guides the formation of a set.
- <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
- <em>The sequence is arithmetic</em>
- <em>There are 32 tiles in the tenth mosaic.</em>
From the given design, the number of tiles used is:
<u />
<u>(a) The first five</u>
Notice that the difference in the number of tiles of successive mosaic is 3.
This means that:
So, the sequence of the first five mosaics is 5, 8, 11, 14, 17
<u>(b) The type of sequence</u>
The sequence is arithmetic
This is so, because the difference in the number of tiles of successive mosaic is 3.
This difference is called the common difference
<u>(c) The number of tiles in the tenth mosaic</u>
The nth term of an arithmetic sequence is:
In this case:
So, we have:
There are 32 tiles in the tenth mosaic.
Read more about arithmetic sequence at: