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find-the-sequence-v-n-wich-verify-v-n-v-n-1-1-n-n-n-1-is-v-n-convergente-




Question Number 83021 by mathmax by abdo last updated on 27/Feb/20
find the sequence v_n  wich verify v_n +v_(n+1) =(((āˆ’1)^n )/( (āˆšn)))  (nā‰„1)  is (v_n ) convergente?
$${find}\:{the}\:{sequence}\:{v}_{{n}} \:{wich}\:{verify}\:{v}_{{n}} +{v}_{{n}+\mathrm{1}} =\frac{\left(āˆ’\mathrm{1}\right)^{{n}} }{\:\sqrt{{n}}}\:\:\left({n}\geqslant\mathrm{1}\right) \\ $$$${is}\:\left({v}_{{n}} \right)\:{convergente}? \\ $$

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