sbledsoe37

How many of these 10,000 equations are divisible by 7?

2 to the 1st power minus 1 to the 2nd power = 1

2 to the 2nd power minus 2 to the 2nd power= 0

2 to the 3rd power minus 3 to the 2nd power = -1

2 to the 4th power minus 4 to the 2nd power= 0

2 to the 5th power minus 5 to the 2nd power = 7

2 to the 6th power minus 6 to the 2nd power = 28

…

2 to the10,000th power minus 10,000 to the 2nd power = ?

Please provide an explanation of how you derived your answer.