Define an operation "*" for any non-zero natural number n, which satisfies the following operation properties: (1) 1 * 1 = 1; (2) (n + 1) * 1 = 3 (n * 1). Try to find the algebraic expression of n * 1 with respect to n

Define an operation "*" for any non-zero natural number n, which satisfies the following operation properties: (1) 1 * 1 = 1; (2) (n + 1) * 1 = 3 (n * 1). Try to find the algebraic expression of n * 1 with respect to n

Let n * 1 = an, then A1 = 1, an + 1 = 3an, {an} is an equal ratio sequence with 1 as the first term and 3 as the common ratio, {an = 3n-1, that is, n * 1 = 3n-1