Page 107 - Demo

101AFT%u00cbSIVargjetMatematika 1110.2Vargjet kuadratike1 Shkruani dy kufizat vijuese n%u00eb vargjet kuadratike t%u00eb m%u00ebposhtme.a 4, 8, 14, 22, , , ...b 7, 9, 13, 19, , , ...c 2, 5, 10, 17, , , ...d 10, 20, 26, 28, , , ...2 Gjeni kufiz%u00ebn q%u00eb mungon n%u00eb vargjet kuadratike t%u00eb m%u00ebposhtme.a 8, 14, 24, , 56, ... b , 10, 19, 34, 53, ...c 1, 6, , 31, , ...d 6, %u22128, %u221226, , , ...3 a Gjeni tri kufizat e para t%u00eb vargjeve me kufiza t%u00eb p%u00ebrgjithshme si m%u00eb posht%u00eb. i T(n) = n2 + 6 ii T(n) = n2 + 3n iii T(n) = n2 + 2n %u2212 6 iv T(n) = 3n2v T(n) = 3n2+ 5b Llogaritni kufiz%u00ebn e 10-t%u00eb t%u00eb secilit prej vargjeve t%u00eb m%u00ebsip%u00ebrme.4 a Duke p%u00ebrdorur kufiz%u00ebn e n-t%u00eb p%u00ebr secilin nga vargjet e m%u00ebposhtme, llogaritni kat%u00ebr kufizat e para. i n2 + 4 ii n2 %u2013 7 iii n2 + n + 2 iv n2 + n %u2013 9 v 3n2+ n vi n2 + 0,5n vii 3n2+ 4n + 5 viii n(n %u2013 5)b N%u00eb secilin rast, llogaritni ndryshes%u00ebn e dyt%u00eb p%u00ebr t%u00eb verifikuar n%u00ebse vargjet jan%u00eb kuadratike.5 Gjeni kufiz%u00ebn e n-t%u00eb t%u00eb secilit prej vargjeve kuadratike t%u00eb m%u00ebposhtme.a 6, 9, 14, 21, %u2026 b %u22125, %u22122, 3, 10, %u2026c 6, 12, 22, 36, %u2026 d %u22123, 1, 7, 15, %u2026e 3, 10, 19, 30, %u2026 f 13, 18, 25, 34, %u20266 Gjeni kufiz%u00ebn e n-t%u00eb vargjeve t%u00eb m%u00ebposhtme. a 8, 5, 0, %u22127, %u2026 b 20, 14, 4, %u201310, %u2026