(1 - 1/2)(1 - 1/3)(1 - 1/4)*...*(1 - 1/2006)= [(2² - 1)/2²]*[(3² - 1)/3²)*[(4² - 1)/4²)*...*[(2006² - 1)/2006²]= [(2 - 1)(2 +1)/2²][(3 -1)(3 + 1)/3²]*...