# It's Trivial?-2

Algebra Level 5

Let $$a_n$$be defined as a sequence such that $$a_n$$ is the geometric mean of the 6 numbers before it. Also,$$a_i=i^{21},1 \leq i \leq 6$$.Let $$a_\infty = L$$. Find number of trailing zeros of $$L$$.

Note:-trailing zeros means number of zeros at the the end of the number. Ex:-120 has 1 trailing zero

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