Page 197 - Demo

191Ushtrime 9.2A1 Gjeni kat%u00ebr kufizat e para t%u00eb vargjeve t%u00eb m%u00ebposhtme, duke p%u00ebrdorur rregull%u00ebn kufiz%u00eb pas kufize.a Kufiza e par%u00eb: 2 Rregulla: Mblidh numrat tek t%u00eb nj%u00ebpasnj%u00ebsh%u00ebm.b Kufiza e par%u00eb: 5 Rregulla: Mblidh numrat %u00e7ift t%u00eb nj%u00ebpasnj%u00ebsh%u00ebm. c Kufiza e par%u00eb: 10 Rregulla: Mblidh numrat e plot%u00eb t%u00eb nj%u00ebpasnj%u00ebsh%u00ebm.d Kufiza e par%u00eb: 5 Rregulla: Mblidh shum%u00ebfishat e nj%u00ebpasnj%u00ebsh%u00ebm t%u00eb numrit 3. e Kufiza e par%u00eb: 10 Rregulla: Zbrit numrat tek t%u00eb nj%u00ebpasnj%u00ebsh%u00ebm.f Kufiza e par%u00eb: 8 Rregulla: Zbrit numrat %u00e7ift t%u00eb nj%u00ebpasnj%u00ebsh%u00ebm. 2 N%u00eb vargjet kuadratike t%u00eb m%u00ebposhtme, gjeni dy kufizat e radh%u00ebs.a 3, 7, 13, 21, %u25a1, %u25a1b 4, 6, 10, 16, %u25a1, %u25a1c 1, 5, 10, 16, %u25a1, %u25a1d 1, 4, 9, 16, %u25a1, %u25a1e 10, 7, 6, 7, %u25a1, %u25a1f 8, 18, 24, 26, %u25a1, %u25a1g 10, 7, %u22121, %u221214, %u25a1, %u25a13 N%u00eb vargjet kuadratike t%u00eb m%u00ebposhtme, gjeni kufiz%u00ebn q%u00eb mungon.a 6, 12, 22, %u25a1, 54b %u25a1, 8, 18, 32, 50c 2, %u25a1, 10, 17, 26d 1, 5, %u25a1, 19, %u25a1e %u22124, 10, 28, %u25a1, %u25a1f 6, 12, 15, %u25a1, 12g 5, 8, 6, %u25a1, %u2212134 a Gjeni pes%u00eb kufizat e para t%u00eb vargjeve q%u00eb jepen me an%u00eb t%u00eb rregullave t%u00eb m%u00ebposhtme.i T(n) = n2 + 3ii T(n) = n2 + 2niii T(n) = n2 + n %u2212 2iv T(n) = 2n2v T(n) = 2n2 + 4b Gjeni kufiz%u00ebn e dhjet%u00eb t%u00eb secilit varg.5 a Duke p%u00ebrdorur kufiz%u00ebn e n-t%u00eb p%u00ebr secilin varg t%u00eb dh%u00ebn%u00eb m%u00eb posht%u00eb, gjeni pes%u00eb kufizat e para.i n2 + 1 ii n2 %u2212 3iii n2 + 2n + 1 iv n2 + n %u2212 4v 2n2 + n vi 0,5n2 + n +1vii 2n2 + 2n + 2 viii n(n %u2212 2)b P%u00ebr t%u00eb verifikuar n%u00ebse vargjet jan%u00eb kuadratike, llogaritni ndryshes%u00ebn e radh%u00ebs s%u00eb dyt%u00eb p%u00ebr secilin rast.6 Gjeni kufiz%u00ebn e n-t%u00eb t%u00eb vargjeve kuadratike t%u00eb m%u00ebposhtme.a 4, 7, 12, 19, %u2026 b %u22123, 0, 5, 12, %u2026c 2, 8, 18, 32, %u2026 d 2, 6, 12, 20, %u2026e 5, 12, 21, 32, %u2026 f 3, 8, 15, 24, %u2026g 6, 14, 26, 42, %u2026 h 3, 4, 3, 0, ...7 Gjeni kufiz%u00ebn e n-t%u00eb t%u00eb vargjeve t%u00eb m%u00ebposhtme. a 9, 6, 1, %u22126, %u2026 b 18, 12, 2, %u221212, %u2026c 0, %u22122, %u22126, %u221212, %u2026 d 10, 8, 4, %u22122, %u20268 a P%u00ebr vargun 2, 6, 12, 20, 30, ..., parashikoni pozicionin e kufiz%u00ebs s%u00eb par%u00eb, q%u00eb do t%u00eb jet%u00eb m%u00eb e madhe se 1 000.b Gjeni kufiz%u00ebn e n-t%u00eb t%u00eb vargut 2, 6, 12, 20, 30, ...c P%u00ebrdorni rezultatin e nxjerr%u00eb nga k%u00ebrkesa b, p%u00ebr t%u00eb vler%u00ebsuar sakt%u00ebsin%u00eb e parashikimit t%u00eb b%u00ebr%u00eb.9 A %u00ebsht%u00eb numri 150 kufiz%u00eb e vargut kuadratik, kufiza e n-t%u00eb e t%u00eb cilit %u00ebsht%u00eb n2 + 3?Argumentoni p%u00ebrgjigjen tuaj.10 Klea formon nj%u00eb varg duke p%u00ebrdorur rregull%u00ebn T(n) = 3n2 %u000e n. Ajo mendon se %u00e7do kufiz%u00eb do t%u00eb jet%u00eb num%u00ebr %u00e7ift. A jeni dakord me Klean? Argumentoni p%u00ebrgjigjen tuaj.*A e dini se...Largesa e p%u00ebrshkuar nga trupi q%u00eb bie, e matur p%u00ebr %u00e7do sekond%u00eb, formon nj%u00eb varg kuadratik. Shkatht%u00ebsi