Show with the recursive definition of the sequence (Fn) (Finonacci) that for x ∈ (−r, r) g(x) = x + (x + x^2)g(x).

Find the sum of the first 8 terms of the following sequence. round to the nearest hundredth if necessary.

Asequence {an} is defined recursively, with a1 = 1, a2 = 2 and, for n > 2, an = an-1 an-2 . find the term a241. a) 0 b) 1 c) 2 d) 1 2

(60 points) explain this in detail