大约26-27道测试题

√2-1≈0.414213562

√3-√2≈0.317837245

√4-√3≈0.267949192

√5-√4≈0.236067977

法律:

差异越来越小，越来越接近于零。

旁白:

两个相邻自然数n和n+1的算术平方根之差随着n的增大而减小，当n无限增大时，该差更接近于0。

下面列出了EXCEL得出的前50个差异，以供参考:

√2-1≈0.414213562

√3-√2≈0.317837245

√4-√3≈0.267949192

√5-√4≈0.236067977

√6-√5≈0.213421765

√7-√6≈0.196261568

√8-√7≈0.182675814

√9-√8≈0.171572875

√10-√9≈0.162277660

√11-√10≈0.154347130

√12-√11≈0.147476825

√13-√12≈0.141449660

√14-√13≈0.136106111

√15-√14≈0.131325959

√16-√15≈0.127016654

√17-√16≈0.123105626

√18-√17≈0.119535062

√19-√18≈0.116258256

√20-√19≈0.113237011

√21-√20≈0.110439740

√22-√21≈0.107840065

√23-√22≈0.105415763

√24-√23≈0.103147962

√25-√24≈0.101020514

√26-√25≈0.099019514

√27-√26≈0.097132909

√28-√27≈0.095350199

√29-√28≈0.093662185

√30-√29≈0.092060768

√31-√30≈0.090538788

√32-√31≈0.089089887

√33-√32≈0.087708397

√34-√33≈0.086389248

√35-√34≈0.085127888

√36-√35≈0.083920217

√37-√36≈0.082762530

√38-√37≈0.081651473

√39-√38≈0.080583995

√40-√39≈0.079557322

√41-√40≈0.078568917

√42-√41≈0.077616461

√43-√42≈0.076697826

√44-√43≈0.075811056

√45-√44≈0.074954352

√46-√45≈0.074126051

√47-√46≈0.073324617

√48-√47≈0.072548630

√49-√48≈0.071796770

√50-√49≈0.071067812

√51-√50≈0.070360617

江苏吴云超祝你学业进步。