Question
Is there a general form for all the recurrence relations that describe the life-span changing sequences? In other words, ...
Let R(M) represent the sequence called R, where the rabbits live for M months.
We know that R(3)=Rn-2 + Rn-3
and that R(4)=Rn-2 + Rn-3 + Rn-4
and that R(5)=Rn-2 + Rn-3 + Rn-4 + Rn-5
See a pattern?
It appears that R(M)=Rn-2 + Rn-3 + ... +Rn-M , but is this so?
Is there a general form for all the recurrence relations that describe the life-span changing sequences? In other words, ...
Let R(M) represent the sequence called R, where the rabbits live for M months.
We know that R(3)=Rn-2 + Rn-3
and that R(4)=Rn-2 + Rn-3 + Rn-4
and that R(5)=Rn-2 + Rn-3 + Rn-4 + Rn-5
See a pattern?
It appears that R(M)=Rn-2 + Rn-3 + ... +Rn-M , but is this so?
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