Write in standard form. a) 2 4 b) 10 3 c) 3 5 d) 7 3 e) 2 8 f) 4
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Hi there!
x=8
<u><em>1.Subtract the answer with the 3 / subtract the terms:</em></u>
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<u><em>2.Divide the two terms:</em></u>
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Therefore, x=8
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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: