Find a, b and n in the expansion of `(a+b)^n` if the first three terms of the expansion are 729, 7290 and 30375, respectively.

Explanation

To solve the problem of finding \( a \), \( b \), and \( n \) in the expansion of \( (a+b)^n \) given that the first three terms are 729, 7290, and 30375, we can follow these steps:

### Step 1: Identify the first term
The first term of the expansion is given by:
\[ T_1 = \binom{n}{0} a^n = a^n \]
From the problem, we know:
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