Lokacin da masana'antun karfe suna samar da batch nakarfe bututu, suna haɗa su zuwa sifofin hexagonal don sauƙin sufuri da ƙidaya. Kowane dam yana da bututu shida a kowane gefe. Bututu nawa ne ke cikin kowane dam?
Amsa: 3n(n-1)+1, inda n shine adadin bututun dake gefe guda na babban hexagon na yau da kullun. 1) * 6 = 6 bututu, da bututu 1 a tsakiya.
Samuwar Formula:
Kowane gefe yana riƙe n bututu. Layer na waje ya ƙunshi (n-1) * 6 pipes, Layer na biyu (n-2) * 6 pipes, ..., (n-1) th Layer (n- (n-1)) * 6 = 6 pipes, kuma a karshe bututu 1 a tsakiya. Jimlar ita ce [(n-1) + (n-2) + ... + 1]*6 + 1. Kalmomin da ke cikin maƙallan suna wakiltar jimillar jerin lissafi (jimlar kalmomin farko da na ƙarshe da aka raba ta 2, sannan aka ninka ta n-1 don samar da n*(n-1)/2).
Wannan a ƙarshe yana samar da 3n*(n-1)+1.
Formula: 3n (n-1)+1 Sauya n=8 a cikin dabara: 3×8(8-1)+1 = 24×7+1 = 168+1 = 169 sanduna
Lokacin aikawa: Oktoba-20-2025
