Question

1. Each row in a window display of floppy disk cartons contains two more boxes than the row above. The first row has one box. a. Complete the table. Row Number 1 2 3 4 5 6 Boxes in the row Total boxes in the display

Answer 1

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

`a_(n) = a+(n-1)d`
The sum of n terms is

`S_(n) = (n)/(2)(a_(1) + a_(n))`

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