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A loan is repaid in equal installments. If B t , B t+1 , B t+2 , B t+3 are four consecutive outstanding loan balances,
A loan is repaid in equal installments. If Bt, Bt+1, Bt+2, Bt+3 are four consecutive outstanding loan balances, then prove that
1) (Bt - Bt+1) (Bt+2 - Bt+3) = (Bt+1 - Bt+2)2
2) Bt + Bt+3 < Bt+1 + Bt+2
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