函数 (30 10:52:13)

4个回答

  • 令Sn = 1/(2) + 2/(2平方) + 3/(2的3次方) + … + n/(2的n次方)

    则2Sn = 1 + 2/(2) + 3/(2的平方)+ … + n/(2的n-1次方)

    令2Sn - Sn = 1 + 1/2 +1/(2平方) + 1/(2的3次方) + ...+ 1/(2的n-1次方)- n/(2的n次方)

    所以Sn = 1*(1 - (1/2)的n次方) / (1- 1/2) - n/(2的n次方)

    所以 Sn = 2 - [(n+2)/(2的n次方)]