3/1+15/1+35/1+63/1···+（2N+1)(2N+3)/1+···+8099/1

来源：学生作业帮助网编辑：六六作业网时间：2024/11/16 15:01:42

3/1+15/1+35/1+63/1···+（2N+1)(2N+3)/1+···+8099/13/1+15/1+35/1+63/1···+（2N+1)(2N+3)/1+···+8099/13/1+15

3/1+15/1+35/1+63/1···+（2N+1)(2N+3)/1+···+8099/1
3/1+15/1+35/1+63/1···+（2N+1)(2N+3)/1+···+8099/1

3/1+15/1+35/1+63/1···+（2N+1)(2N+3)/1+···+8099/1
3/1+15/1+35/1+63/1···+（2N+1)(2N+3)/1+···+8099/1
=[(1-3/1)/2]+[(3/1-5/1)/2]+[(5/1-7/1)/2]+[(7/1-9/1)/2]+...[(89/1-91/1)/2]
=(1-3/1+3/1-5/1+5/1-7/1+7/1-9/1+.+89/1-91/1)/2
=(1-91/1)/2
=(91/90)/2
=91/45