简便计算（要过程）：1/1024+1/32+1/64+1/128+1/256+1/512+1/1024=?
问题描述：
简便计算（要过程）：1/1024+1/32+1/64+1/128+1/256+1/512+1/1024=?
答
原式=1/2^10+1/2^5+1/2^6+1/2^7+1/2^8+1/2^9+1/2^10
=(1+2^5+2^4+2³+2²+2+1)/2^10
=[1+(1-2^6)/(1-2)]/2^10
=(1+64)/2^10
=65/1024