find-the-sequence-u-n-wish-verify-u-n-p-u-n-p-1-p-n-p-for-all-n-p-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 129383 by mathmax by abdo last updated on 15/Jan/21

find the sequence u_n wish verify u_(n−p) +u_(n+p) =(((−1)^p )/(n+p)) for all n≥p

$$\mathrm{find}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{u}_{\mathrm{n}} \:\mathrm{wish}\:\mathrm{verify}\:\mathrm{u}_{\mathrm{n}−\mathrm{p}} +\mathrm{u}_{\mathrm{n}+\mathrm{p}} =\frac{\left(−\mathrm{1}\right)^{\mathrm{p}} }{\mathrm{n}+\mathrm{p}} \\ $$$$\mathrm{for}\:\mathrm{all}\:\mathrm{n}\geqslant\mathrm{p} \\ $$

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