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 ...

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?

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

where's the diagram?

step-by-step explanation: