# It's all about the Bonus Points

$\large B_n = n B_{n-1} + 1$

Let $$B_n$$ satisfy the recurrence relation above for $$B=1,2,3,\ldots$$ and $$B_0 = 1$$. What is $$B_{10}$$?

Bonus:

• You can show me how do derive a closed form solution to this recursion sequence. It exists but I do not know how to derive it yet.

• You can interpret this question intuitively and give a real world example of when such a sequence would occur/count.

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