Observe the figure:
\The triangle of cream in color at the bottom of the mosaic are
.
Similarly in last but one row, the triangle of cream in color at the bottom of the mosaic are
.
The triangle are decreasing from
to
.
Hence the sequence is
.
The inverted triangle of blue in color at the bottom of the mosaic are
.
Similarly in last but one row, the inverted triangle of blue in color at the bottom of the mosaic are
.
The triangle are decreasing from
to
.
Hence the sequence is
.
Therefore,
.
Find the sum of sequence
.
The first term is
.
There are
row in all, hence
.
The sum of the first
terms of an arithmetic sequence
.
\
\

\
\
\
\
Therefore, there are
blue colored triangles in Mosaic.
.

\
\
Therefore, there are
cream colored triangle in Mosaic.
\
\
There are
cream colored triangle in Mosaic.
There are
blue colored triangle in Mosaic.