求和Sn=1+(1+1/2)+(1+1/2+1/4)+…+(1+1/2+1/4+…+1/2^(2n-1).有详细过程,谢谢.

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求和Sn=1+(1+1/2)+(1+1/2+1/4)+…+(1+1/2+1/4+…+1/2^(2n-1).有详细过程,谢谢.求和Sn=1+(1+1/2)+(1+1/2+1/4)+…+(1+1/2+1/

求和Sn=1+(1+1/2)+(1+1/2+1/4)+…+(1+1/2+1/4+…+1/2^(2n-1).有详细过程,谢谢.
求和Sn=1+(1+1/2)+(1+1/2+1/4)+…+(1+1/2+1/4+…+1/2^(2n-1).有详细过程,谢谢.

求和Sn=1+(1+1/2)+(1+1/2+1/4)+…+(1+1/2+1/4+…+1/2^(2n-1).有详细过程,谢谢.
1+1/2+1/4+.+1/2^(2n-1)=2-1/2^(2n-1). 所以Sn=2n-1/2-1/4-.1/2^(2n-1)=2n+1/2^(2n-1)-1