Question Number 180483 by Shrinava last updated on 12/Nov/22
Commented by MJS_new last updated on 12/Nov/22
$$\mathrm{it}'\mathrm{s}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{find}\:\mathrm{an}\:\mathrm{infinite}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{sequences}\:{a}_{{n}} \:\mathrm{with} \\ $$$${a}_{\mathrm{1}} =\frac{\mathrm{4}}{\mathrm{3}}\wedge{a}_{\mathrm{2}} =\frac{\mathrm{4}}{\mathrm{5}}\wedge{a}_{\mathrm{3}} =\frac{\mathrm{24}}{\mathrm{25}}\wedge{a}_{\mathrm{4}} =\frac{\mathrm{864}}{\mathrm{875}} \\ $$$$\mathrm{fulfilling} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\prod}}{a}_{{n}} =\mathrm{1} \\ $$