There are several numbers, the first number is the first power of a, the second is the second power of a, the third is the third power of a... The nth number is the nth power of a, if a The nth number is the nth power of A. if the first power of a is half, each number is equal to the reciprocal of the difference between 1 and the number in front of it, The power of a is 2011, the power of a is 2012, and the power of a is 2013 (3) Calculate the first power of a * the second power of a * the third power of a * the 2011 power of a * the 2012 power of a * the 2013 power of a

There are several numbers, the first number is the first power of a, the second is the second power of a, the third is the third power of a... The nth number is the nth power of a, if a The nth number is the nth power of A. if the first power of a is half, each number is equal to the reciprocal of the difference between 1 and the number in front of it, The power of a is 2011, the power of a is 2012, and the power of a is 2013 (3) Calculate the first power of a * the second power of a * the third power of a * the 2011 power of a * the 2012 power of a * the 2013 power of a

This is not a power of a, but A1, A2, A3, which means the sequence A1 = 1 / 2, A2 = 1 / (1-1 / 2) = 2A3 = 1 / (1-2) = - 1A4 = 1 / [(1 - (- 1)] = 1 / 2. Because A1 = A4, every three times is a cycle 2011 △ 3 = 670... 1, so a2011 = A1 = 1 / 2a2012 = A2 = 2, a2013 = A3 = - 1, and the product of each cycle is A1 * A2 * A3 = - 1