T(n+1)=4T(n)+1

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Solution for T(n+1)=4T(n)+1 equation: 



(T+1)=4(T)+1

We move all terms to the left:

(T+1)-(4(T)+1)=0

We get rid of parentheses

T-4T+1-1=0

We add all the numbers together, and all the variables

-3T=0

T=0/-3

T=0

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