The number of pennies is an illustration of geometric sequence.
The number of pennies in the last cell is: [tex]\mathbf{2147483648}[/tex]
From the complete question, we have the following parameters:
[tex]\mathbf{T_1 = 1}[/tex] --- number of pennies in the first cell
[tex]\mathbf{r = 2}[/tex] --- The rate at which the pennies change in subsequent cells
[tex]\mathbf{Columns = 8}[/tex]
[tex]\mathbf{Rows = 4}[/tex]
The number of cells at the end of row 4 is:
[tex]\mathbf{n = Rows \times Column}[/tex]
So, we have:
[tex]\mathbf{n = 4\times 8}[/tex]
[tex]\mathbf{n = 32}[/tex]
So, the number of pennies at the end of the 4th row is:
[tex]\mathbf{T_n=T_1 \times r^{n-1}}[/tex]
So, we have:
[tex]\mathbf{T_n = 1 \times 2^{32-1}}[/tex]
[tex]\mathbf{T_n = 1 \times 2^{31}}[/tex]
[tex]\mathbf{T_n = 1 \times 2147483648}[/tex]
[tex]\mathbf{T_n = 2147483648}[/tex]
Hence, the number of pennies in the last cell is: [tex]\mathbf{2147483648}[/tex]
Read more about geometric sequence at:
https://brainly.com/question/18109692
