Find the values of

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Find the values of (1)

(i) \frac{1}{(n-1)!} + \frac{1}{(n-3)! 3!} + \frac{1}{(n-5)! 5!} + \dots

(2)

(ii) \frac{1}{12!} + \frac{1}{10! 2!} + \frac{1}{8! 4!} + \dots + \frac{1}{12!}