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Distant Sequence Term II

Algebra 1250
What is the 2025th term of the sequence where each term after the first is 3 more than twice the previous term, starting with 2? The answer is in the form $a\cdot b^c - d$ where $a$, $b$, $c$, $d$ are positive integers, and $\gcd(a,b) = 1$. Input the value of $a+b+c+d$.