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214 Note Matematice şi MetodiceInegalităţi şi elemente de teoria şirurilorPetru Ivănescu 1) şi Florin Nichita 2)Abstract. In this note we prove an elementary inequality by instrumentsof mathematical analysisKeywords: sequence, Riemann integral.MSC : 40A05.Se dă următoarea inegalitate:12 < 1 3 + 1 4 < 1 5 + 1 6 + 1 7 + 1 8