The pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.
Given
There are 8 rows and 8 columns, which means 64 squares on a chessboard.
We are placing 1 penny on Row 1 Column A, 2 pennies on Row 1 Column B, 4 pennies on Row 1 Column C, and so on.
A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
So, we are increasing the number of pennies twice the amount of the previous square.
So, the pennies on next squares will be,
[tex]\rm Column \ D = 2\times 4=8\\\\Column \ E = 2\times 9=16\\\\Column \ F= 2\times 16=32\\\\Column \ G= 2\times 32=64\\\\Column \ H = 2\times 64=128[/tex]
Therefore, the pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.
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