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1.TGivenTtheTfixedTpointsTF(0T,√5)TandTF'T(0T,-
√5),TobtainTtheTequationTofTtheTlocusTpointTP(x,Ty),TsuchTthatTPFT+PF'T=T
8T-TCorrectTAnswer-√[x^2+(y-V5)^2]+√[x^2+(y+V5)^2]=8
x^2/11+y^2/16T=T1
2TGraphTtheTregionTsatisfyingTtheTgivenTsystemTofTinequalities,TandTthe
nTstateTtheTrangeTofTvaluesTxTandTy
x-y+1T≥T0
5-2x-yT≥T0T-TCorrectTAnswer-allTrealTnumbersTforTx,TyT≤T7/3
3.TObtainTtheT30thTtermTofTanTarithmeticTsequenceTwhoseT5thTtermTisT
-3TandTwhoseT14thTtermTisT24.T-TCorrectTAnswer-a+4d=-
3,Ta+13d=24,Ta=-15,Td=3
72
4.TObtainTtheTsumTofTtheTfollowingTarithmeticTsequence.
-15,T-10,T-5,T0,T...T(throughTtheT12thTterm)T-TCorrectTAnswer-150
5.T4
, ΣT(3kT-T2)T=
k=1T-TCorrectTAnswer-22
6.TObtainTtheT1stTtermTandTcommonTratioTofTaTgeometricTsequenceTwh
oseT5thTtermTisT24TandT7thTtermTisT96
FirstTterm:
CommonTratio:T-TCorrectTAnswer-ar^4=24,Tar^6=96
1stTterm:T3/2
CommonTratio:T±2
7.TGivenTaTgeometricTsequenceTwhoseTsumTofTtheTfirstT10TtermsTisT4,Ta
ndTwhoseTsumTofTtheTtermsTfromTtheT11thTthroughT30thTtermTisT48,Tob
tainTtheTsumTofTtheTtermsTfromTtheT31stTthroughTtheT60thTterm.T-
TCorrectTAnswer-S10=a(r^10-1)/r-1=4
S30=a(r^30-1)/r-1=52
r^10=3,Tr^60=T1456
1404
8.TGivenTtheTsequenceT[an]:T2,T5,T10,T17,T26,T37,T50,T...,TobtainTtheTgene
ralTtermTan,TandTtheTsumTofTtheTfirstTnTterms,TSnT-TCorrectTAnswer-
bn=2n+1,Tan=n^2+1
anT=Tn^2+1
SnT=Tn/6(2n^2T+3nT+7)