1*3/1+3*5/1+5*7/1+···+2013*2015/1=?1*3/1+3*5/1+5*7/1+7*9/1+···+2013*2015/1=?

来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 04:41:38
1*3/1+3*5/1+5*7/1+···+2013*2015/1=?1*3/1+3*5/1+5*7/1+7*9/1+···+2013*2015/1=?

1*3/1+3*5/1+5*7/1+···+2013*2015/1=?1*3/1+3*5/1+5*7/1+7*9/1+···+2013*2015/1=?
1*3/1+3*5/1+5*7/1+···+2013*2015/1=?
1*3/1+3*5/1+5*7/1+7*9/1+···+2013*2015/1=?

1*3/1+3*5/1+5*7/1+···+2013*2015/1=?1*3/1+3*5/1+5*7/1+7*9/1+···+2013*2015/1=?
1/(1*3)+1/(3*5)+1/(5*7)+……+1/(2013*2015)
=1/2*(1-1/3)+1/2*(1/3-1/5)+1/2*(1/5-1/7)+……+1/2*(1/2013-1/2015)
=1/2*(1-1/3+1/3-1/5+1/5-1/7+……+1/2013-1/2015)
=1/2*(1-1/2015) 【中间的都约掉了】
=1/2*2014/2015
=1007/2015

计算:1/1·5+1/3·7+1/5·9+···+1/21·25 1 2 3 4 ·····7 ·······10 ········?1 3 5 7 ·····?······?··········290 1 4 9 ·····?······?··········? 1+1·3+1·3·5+1·3·5·7+.的通项公式 1/1*3+1/3*5+1/5*7···+1/99*101 1/3*5+1/5*7+······+1/97*99+1/99*101=? 计算1-3+5-7+9-11+··········+97-99= 1*3*1/5+3*5*1/7+···+ 2001*2003*1/2005 计算：1-3+5-7+···+97-99 -1-3-5-7-9······-97-99怎么计算 1-3+5-7+9-11······+2009-2011+2013-2015 1-3+5-7+······+97-99= 1-3+5-7+······+97-99=? 1+3+5+7······+2009+20111怎样简便计算 1/1×3+1/3×5+1/5×7+···+1/(2n-1)（2n+1） 求和1/1·3+1/3·5+1/5·7+...+1/(2n+1)(2n-1) 分数计算题 1/1*3+1/3*5+1/5*7+1/7*9······+1/97*99=? 1*3/1+3*5/1+5*7/1+···+2013*2015/1=?1*3/1+3*5/1+5*7/1+7*9/1+···+2013*2015/1=? 1,3,3,5,5,7,7,9,9······的通项公式