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U2 = 6
U3= 10
3, 6, 10, ....
3, 4,
1
Termasuk barisan aritmamtika bertingkat
Un= an² +bn +c
cari dulu a, b, c nya
⏺2a= 1➡ a= ½
⏺3a +b = 3 ➡ b = 3 - 3.½ = 3/2
⏺a+b +c = 3 ➡ c= 3- ½ - 3/2 = 2/2 = 1
Un = an² + bn +c
Un = ½n² +3/2 n + 1
maka
U9 = ½.9² + 3/2. 9 +1
= 81/2 + 27/2 +1
= 54 +1
= 55
Jadi banyak persegi pada pola ke 9 adalah 55