Nā Wahi Lāʻau
Manaʻo ʻia he 12 mau lāʻau kāu e hoʻohana ai e hoʻopuni i kahi ʻāpana me nā ʻaoʻao moe a kū. ʻO kēia mau ala ʻekolu no ka hana ʻana i kēlā e hoʻopuni i nā wahi o ka nui 3, 5, a me 9.

KA PILI
E huli i nā wahi a pau hiki iā ʻoe ke hana me 12 mau lāʻau.
HE ʻAHOLAHA
He aha ka mea e hana ʻia ke hoʻololi ʻoe i ka helu o nā lāʻau? Aia kekahi mau helu o nā lāʻau i hana ʻole iki?
Notes
KA PILI
Eia kekahi mau laʻana no ka hana ʻana i nā wahi mai 3 a 9.

HE ʻAHOLAHA
Hiki ke hoʻopili ʻia nā lāʻau i nā manawa a pau, no laila e hana wale nā helu like o nā lāʻau. No nā helu like, ʻelua ʻano mea hiki ke hana.
Nā Pālua o 4: E hana like kēia mau helu me ka hana a 12. No kahi helu o ke ʻano 4n, e hana ʻia ka ʻāpana liʻiliʻi loa e n 1 ma 1 mau huinahā, a ʻo ka mea nui loa e n ma n mau huinahā.
Nā Huahelu Pālua o 4 me 2: E like kēia mau helu me ka huahelu pālua o ʻehā, akā e loaʻa iā lākou kahi puʻupuʻu keu. No kahi helu o ke ʻano 4n + 2, e hana ʻia ka ʻāpana liʻiliʻi loa e (n - 1) 1 x 1 mau huinahā me hoʻokahi huinahā 2 x 1. ʻO ka ʻāpana nui loa he huinahā n x (n + 1).