I just love sequences, you know!

Algebra Level 3

Consider a Arithmetic Progression. Such that :
Twentieth term of this progression is : \(log(20)\) Thirty second term of same AP is
\(log(32)\) .
Then \(A\)th term of this AP is \(B/C\) Where \(A,B,C\) are natural numbers.
\(A+B+C\) is :

Take base of logarithm to be 10.


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