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Question Number 159222 by physicstutes last updated on 14/Nov/21

$$\mathrm{find}\mathrm{an}\mathrm{explicit}\mathrm{formula}\mathrm{for}$$$$\mathrm{the}\mathrm{sequence}$$$$\frac{2}{3},\frac{4}{5},\frac{8}{9},\frac{16}{17},\frac{32}{33},...$$

Commented by MJS_new last updated on 14/Nov/21

$$a_n=1-\frac{12}{n^4-6n^3+23n^2-18n+36}$$$$a_n=\frac{7}{33660}{n}^4-\frac{13}{16830}{n}^3-\frac{767}{33660}{n}^2+\frac{3433}{16830}n+\frac{818}{1683}$$$$...$$

Answered by TheSupreme last updated on 14/Nov/21

$$a_n=\frac{2^n}{2^n+1}isoneoftheinfinitesolutions$$$$$$

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