紧急!数学问题
题目:3/4+8/9+15/16+24/25+^^^^^^9999/10000
请用简便方法计算!各位高人,拜托了!!!!!!
参考答案:=(1-1/4)+(1-1/9)+(1-1/25)+...+(1-1/10000)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)+...+(1-1/10000)(1+1/10000)
=(1/2)*(10001/10000)
=10001/20000
题目:3/4+8/9+15/16+24/25+^^^^^^9999/10000
请用简便方法计算!各位高人,拜托了!!!!!!
参考答案:=(1-1/4)+(1-1/9)+(1-1/25)+...+(1-1/10000)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)+...+(1-1/10000)(1+1/10000)
=(1/2)*(10001/10000)
=10001/20000