Блог 529http://likemath.ru/2016-07-22T13:35:00+03:00Нахождение суммы k-ых степеней2016-07-22T13:35:00+03:00Алексей Лобановtag:likemath.ru,2016-07-22:posts/nakhozhdenie-summy-k-ykh-stepenei/<p>Как придумать формулу для суммы <span class="math">\(1^5 + 2^5 + 3^5 + \ldots + n^5\)</span> и есть ли она&nbsp;вообще?</p> <script type="text/javascript">if (!document.getElementById('mathjaxscript_pelican_#%@#$@#')) { var mathjaxscript = document.createElement('script'); mathjaxscript.id = 'mathjaxscript_pelican_#%@#$@#'; mathjaxscript.type = 'text/javascript'; mathjaxscript.src = '//cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML'; mathjaxscript[(window.opera ? "innerHTML" : "text")] = "MathJax.Hub.Config({" + " config: ['MMLorHTML.js']," + " TeX: { extensions: ['AMSmath.js','AMSsymbols.js','noErrors.js','noUndefined.js'], equationNumbers: { autoNumber: 'AMS' } }," + " jax: ['input/TeX','input/MathML','output/HTML-CSS']," + " extensions: ['tex2jax.js','mml2jax.js','MathMenu.js','MathZoom.js']," + " displayAlign: 'center'," + " displayIndent: '0em'," + " showMathMenu: true," + " tex2jax: { " + " inlineMath: [ ['\\\\(','\\\\)'] ], " + " displayMath: [ ['$$','$$'] ]," + " processEscapes: true," + " preview: 'TeX'," + " }, " + " 'HTML-CSS': { " + " styles: { '.MathJax_Display, .MathJax .mo, .MathJax .mi, .MathJax .mn': {color: 'black ! important'} }" + " } " + "}); "; (document.body || document.getElementsByTagName('head')[0]).appendChild(mathjaxscript); } </script>