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

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

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step-by-step explanation:

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