Niz znamenaka
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,
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,
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,
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,
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,
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, ... konstruira se tako da je svaki broj, počevši od petog, jednak znamenki jedinica zbroja prethodne četiri znamenke.
a) Da li se u tom nizu redom pojavljuju znamenke
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, tim redom?
b) Da li se u tom nizu ikad ponavljaju početne znamenke
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,
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, tim redom?
%V0
Niz znamenaka $1$, $2$, $3$, $4$, $0$, $9$, $6$, $9$, $4$, $8$, $7$, ... konstruira se tako da je svaki broj, počevši od petog, jednak znamenki jedinica zbroja prethodne četiri znamenke.
a) Da li se u tom nizu redom pojavljuju znamenke $2$, $0$, $0$, $4$, tim redom?
b) Da li se u tom nizu ikad ponavljaju početne znamenke $1$, $2$, $3$, $4$, tim redom?