السؤال
الحل
⟨ Un ⟩ = ⟨ 1 + ( − 1 ) n ⟩
U 1 = 1 + ( − 1 ) 1 = 1 − 1 = 0 U 2 = 1 + ( − 1 ) 2 = 1 + 1 = 2 U 3 = 1 + ( − 1 ) 3 = 1 − 1 = 0 U 4 = 1 + ( − 1 ) 4 = 1 + 1 = 2 U 5 = 1 + ( − 1 ) 5 = 1 − 1 = 0 U 6 = 1 + ( − 1 ) 6 = 1 + 1 = 2 U 7 = 1 + ( − 1 ) 7 = 1 − 1 = 0 ⟨ U n ⟩ = ⟨ 0 , 2 , 0 , 2 , 0 , 2 , 0 ⟩
U1=1+(−1)1=1−1=0U2=1+(−1)2=1+1=2U3=1+(−1)3=1−1=0U4=1+(−1)4=1+1=2U5=1+(−1)5=1−1=0U6=1+(−1)6=1+1=2U7=1+(−1)7=1−1=0⟨Un⟩=⟨0,2,0,2,0,2,0⟩
H1=1(1)2+1=12H2=1(2)2+1=15H3=1(3)2+1=110H4=1(4)2+1=117H5=1(5)2+1=126H6=1(6)2+1=137⟨Hn⟩=⟨12,15,110,117,126,137⟩
H1=(1)2−3=−2H2=(2)2−3=1H3=(3)2−3=6H4=(4)2−3=13H5=(5)2−3=22H6=(6)2−3=33H7=(7)2−3=46⟨Hn⟩=⟨−2,1,3,13,22,33,46⟩
U1=10−2(1)=8U2=10−2(2)=6U3=10−2(3)=4U4=10−2(4)=2U5=10−2(5)=0U6=10−2(6)=−2U7=10−2(7)=−4⟨Un⟩=⟨8,6,4,2,0,−2,−4⟩
G1=4G2=4G2=4G4=4G5=4G6=4G7=4⟨Gn⟩=⟨4,4,4,4,4,4,4⟩
U1=3U2=−3U2=3U4=−3U5=3U6=−3U7=3⟨Un⟩=⟨3,−3,3,−3,3,−3,3⟩
M1=−3(−1)1=3M2=−3(−1)2=−3M3=−3(−1)3=3M4=−3(−1)4=−3M5=−3(−1)5=3M6=−3(−1)6=−3⟨Mn⟩=⟨3,−3,3,−3,3,−3⟩
G1=21−1=20=1/J/YG2=22−1=21=2G3=23−1=22=4G4=24−1=23=8G5=25−1=24=16G6=26−1=25=32G7=27−1=26=64⟨Gn⟩=⟨1,2,4,8,16,32,64⟩
M1=1−2(1)1=−11=−1M2=1−2(2)2=−32=−1.5M3=1−2(3)3=−53=−1.66M4=1−2(4)4=−74=−1.75M5=1−2(5)5=−95=−1.8M6=1−2(6)6=−116=−1.833M7=1−2(7)7=−137=−1.857⟨Mn⟩=⟨−1,−1.5,−1.6,−1.75,−1.8,−1.83,−1.85⟩
U1=81=8U2=82=4U3=83=2.66U4=84=2U5=85=1.6U6=86=1.3U7=87=1.14⟨Un⟩=⟨8,4,2.66,2,1.6,1.33,1.14⟩
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