Botonga molongo ya arithmétique oyo terme na yango ya zomi ezali 50.
Molongo ya arithmétique ezali molongo oyo bokeseni kati na maloba nyonso mibale oyo elandi ezali ndenge moko. Bokeseni oyo babengaka yango bokeseni ya bato banso, mpe tozali kolakisa yango na d. Tika `an` elakisa terme ya n ya molongo ya arithmétique. Na boye `a10 = 50`. Kobosana pe te ete formule ya terme n ya séquence arithmétique epesami na `an = a1 + (n-1) * d`. Lokola `a10 = 50`; na ko substituer ba valeurs na formule, tozuaka : `50 = a1 + (10 - 1) * d` `50 = a1 + 9 * d` Yango elingi koloba : `a1 = 50 - 9 * d` (1) Donc, ba terme ya liboso ya sequence ekoki ko exprimer na ndenge ya différence commune. Na kotalela motuya ya d, tozwaka ba séquences arithmétiques ekeseni. Na se ezali na mwa bandakisa : Cas 1 : Tika bokeseni ya commun ezala d = 1 sima Kobanda na équation (1) `a1 = 50 - 9 * 1 = 41` Donc, séquence arithmétique na cas oyo ezali : 41, 42, 43, 44 , 45, 46, 47, 48, 49, 50... Cas 2: Tika bokeseni ya commun ezala d = 2 sima Kobanda na équation (1) `a1 = 50 - 9 * 2 = 32` Donc, séquence arithmétique na oyo cas ezali : 32, 34, 36, 38, 40, 42, 44, 46, 48, 50... Mpo na kosukisa, ezali na ba séquences ya boye ebele infiniment oyo ekokisaka ba critères, mpe sequence moko na moko ezuami na valeur oyo eponami pona bokeseni ya bato nyonso `d`.