Previous in Relation and Functions Next in Relation and Functions
Question Number 133536 by mathmax by abdo last updated on 22/Feb/21
$$\mathrm{find}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} \mathrm{with}\:\mathrm{verify}\:\mathrm{u}_{\mathrm{n}} +\mathrm{u}_{\mathrm{n}+\mathrm{1}} =\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\:\sqrt{\mathrm{n}}}\:\:\forall\mathrm{n}\geqslant\mathrm{1} \\ $$$$\mathrm{determine}\:\mathrm{a}\:\mathrm{equivalent}\:\mathrm{of}\:\:\mathrm{u}_{\mathrm{n}} \\ $$$$\mathrm{is}\:\mathrm{u}_{\mathrm{n}} \mathrm{convergent}? \\ $$