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Question-180483




Question Number 180483 by Shrinava last updated on 12/Nov/22
Commented by MJS_new last updated on 12/Nov/22
it′s possible to find an infinite number of  sequences a_n  with  a_1 =(4/3)∧a_2 =(4/5)∧a_3 =((24)/(25))∧a_4 =((864)/(875))  fulfilling  Π_(n=1) ^∞ a_n =1
$$\mathrm{it}'\mathrm{s}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{find}\:\mathrm{an}\:\mathrm{infinite}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{sequences}\:{a}_{{n}} \:\mathrm{with} \\ $$$${a}_{\mathrm{1}} =\frac{\mathrm{4}}{\mathrm{3}}\wedge{a}_{\mathrm{2}} =\frac{\mathrm{4}}{\mathrm{5}}\wedge{a}_{\mathrm{3}} =\frac{\mathrm{24}}{\mathrm{25}}\wedge{a}_{\mathrm{4}} =\frac{\mathrm{864}}{\mathrm{875}} \\ $$$$\mathrm{fulfilling} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\prod}}{a}_{{n}} =\mathrm{1} \\ $$

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