2分之1+4分之1+8分之1+16分之1+32分之1+64分之1要用梯等式,急 急 急 急

解法一：原式=1/2+1/4+1/8+1/16+1/32+(1/64+1/64)-1/64
=1/2+1/4+1/8+1/16+(1/32+1/32)-1/64
=1/2+1/4+1/8+(1/16+1/16)-1/64
=(1/2+1/2)-1/64
=1-1/64
=63/64
解法二：设原式=S，两边同时乘以64，则
64S=32+16+8+4+2+1=63
S=63/64
解法三：原式=1/64(32+16+8+4+2+1)
=1/64*63
=63/64
解法四：1/2+1/4+1/8+1/16+1/32+1/64
=32/64+16/64+8/64+4/64+2/64+1/64
=63/64

解法一：原式=1/2+1/4+1/8+1/16+1/32+(1/64+1/64)-1/64
=1/2+1/4+1/8+1/16+(1/32+1/32)-1/64
=1/2+1/4+1/8+(1/16+1/16)-1/64
=.
=(1/2+1/2)-1/64
=1-1/64
=63/64
解法二：设原式=S,两边同时乘以64,则
64S=32+16+8+4+2+1=63
因此 S=63/64
解法三：原式=1/64(32+16+8+4+2+1)
=1/64*63
=63/64