Each row has two more boxes than the row above. The first row has one box
The boxes in a row form an arithmetic sequence with the first term, a₁ = 1 and the common difference, d=2.
The n-th term is
[tex]a_{n} = a+(n-1)d[/tex]
The sum of n terms is
[tex]S_{n} = \frac{n}{2}(a_{1} + a_{n}) [/tex]
Answer:
The table will have the following:
Row Number: 1 2 3 4 5 6
Boxes in the row: 1 3 5 7 9 11
Total boxes in the display: 1 4 9 16 25 36