9514 1404 393
Answer:
(c) -3/4
Step-by-step explanation:
Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.
Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...
-2 1/2 -(-1 3/4) = -5/2 +7/4
= -10/4 +7/4 = -3/4
Pattern is the rule that guides the formation of a set.
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: