Question

For the first five mosaics, write the sequence that is formed by the number of tiles in each mosaic.
Is this sequence arithmetic, geometric, or neither? How do you know?
How many tiles will be in the tenth mosaic? How do you know?
pyright

1. The arithmetic sequence for the first five mosaics is the 1,2,3,4,5,………..n.
According to the statement
we have to explain all about the sequence of the first five mosaics.
For this purpose, we know that the
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same.
From the given information:
For the first five mosaics, the sequence that is formed by the number of tiles in each mosaic.
Then the sequence become:
1,2,3,4,5,………..n
And in this sequence the difference is 1 and the total number of the terms is n.
And
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
So, The arithmetic sequence for the first five mosaics is the 1,2,3,4,5,………..n.