f(n)=1+1/2+1/3+1/4+~+1/2^n,则:f(k+1)-f(k)=?最后一项是2的n次方分之一.

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f(n)=1+1/2+1/3+1/4+~+1/2^n,则:f(k+1)-f(k)=?最后一项是2的n次方分之一.
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f(n)=1+1/2+1/3+1/4+~+1/2^n,则:f(k+1)-f(k)=?最后一项是2的n次方分之一.
f(n)=1+1/2+1/3+1/4+~+1/2^n,则:f(k+1)-f(k)=?
最后一项是2的n次方分之一.

f(n)=1+1/2+1/3+1/4+~+1/2^n,则:f(k+1)-f(k)=?最后一项是2的n次方分之一.
1/(2^k+1)+1/(2^k+2)+……1/[2^(k+1)]

f(k+1)-f(k)=1/2^(k+1)

f(k)=1+~~~~+1/2^k
f(k+1)=1+~~~+1/2^k+~~1/2*2^k
F(k+1)-f(k)=1/2^k+1 +~~~+1/2*2^k

f(k)=1+1/2+1/3+1/4+~~~~~~~~~~+1/2^k;
f(k+1)=1+1/2+1/3+1/4+~~~~~~~~~~+1/2^(k+1);
f(k+1)-f(k)=1/2^(k+1)