Question: Find the exponential generating function for each of the following sequences. (a) 1, -1, 1, -1, 1, -1, . . . (b) 1, 2, 22,

Find the exponential generating function for each of the following sequences.
(a) 1, -1, 1, -1, 1, -1, . . .
(b) 1, 2, 22, 23, 24, ...
(c) 1, -a, a2, -a3, a4, . . ., a ∈ R
(d) 1, a2, a4, a6, ... , a ∈ R
(e) a, a3, a5, a7, ... , a ∈ R
(f) 0, 1, 2(2), 3(22), 4(23), . . .

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