does it converge?



Hello I have a sequence with length N
x_1, ...., x_N

for every x_i, the probability of delete it is p_d
the probability of adding one digit before it is p_i
the probability of keeping it is 1-p_d-p_i

so the new length of the sequence is (1-p_d+p_i)N, when N is large
right?
How soon will it converge?

thanks a lot!

.



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