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2 answers:
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Complete Question:
There are 8 rows and 8 columns, or 64 squares on a chessboard.
Suppose you place 1 penny on Row 1 Column A,
2 pennies on Row 1 Column B,
4 pennies on Row 1 Column C, and so on …
Determine the number of pennies in Row 1
Determine the number of pennies on the entire chessboard?
Answer:
255 in the first row
18,446,744,073,709,551,615 in the entire board
Step-by-step explanation:
Given
Solving (a): Number of pennies in first row
The question is an illustration of geometric sequence which follows
Where
--- The first term
Calculate the common ratio, r
The number of pennies in the first row will be calculated using sum of n terms of a GP.
Since, the first row has 8 columns, then
Substitute 8 for n, 2 for r and 1 for a in
Solving (b): The entire board has 64 cells.
So:
Substitute 64 for n, 2 for r and 1 for a in