Question

The louve pyramid in paris, france is built of glass panes. there are 4 panes in the top row, and each additional row has 4 more panes than the previous row. complete the following summation notation to find the total number of glass panes for n rows.

Answer 1

To find the total number of glass panes for n rows, we can use the summation notation Σ(a1 + 4(k-1)), where a1 represents the number of panes in the top row and k represents the number of rows.

Step-by-step explanation:

To find the total number of glass panes for n rows, we need to determine the pattern of the number of panes in each row. We are given that there are 4 panes in the top row. For each additional row, there are 4 more panes than the previous row.

So, if we denote the number of panes in the top row as a1, then the number of panes in the second row would be a1 + 4, the number of panes in the third row would be a1 + 4 + 4, and so on.

To write this as a summation notation, we can use the formula:

Σ(a1 + 4(k-1))

where k represents the number of rows. We can then simplify and compute this summation to find the total number of glass panes for n rows.