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:



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<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:
brainly.com/question/18109692