find-the-sequence-u-n-with-verify-u-n-u-n-1-1-n-n-n-1-determine-a-equivalent-of-u-n-is-u-n-convergent-

Tinku Tara June 3, 2023 Relation and Functions 0 Comments

Question Number 133536 by mathmax by abdo last updated on 22/Feb/21

find the sequence u_n with verify u_n +u_(n+1) =(((−1)^n )/( (√n))) ∀n≥1 determine a equivalent of u_n is u_n convergent?

$$\mathrm{find}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} \mathrm{with}\:\mathrm{verify}\:\mathrm{u}_{\mathrm{n}} +\mathrm{u}_{\mathrm{n}+\mathrm{1}} =\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\:\sqrt{\mathrm{n}}}\:\:\forall\mathrm{n}\geqslant\mathrm{1} \\ $$$$\mathrm{determine}\:\mathrm{a}\:\mathrm{equivalent}\:\mathrm{of}\:\:\mathrm{u}_{\mathrm{n}} \\ $$$$\mathrm{is}\:\mathrm{u}_{\mathrm{n}} \mathrm{convergent}? \\ $$

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