Let a be a real number...?
Let 'a' be a real number such that a 1 < a < 2. a(sub n) is the sequence defined by:
a1 = a,
an+1 = |an| -1
And put Sn= a1+a2....+an
Find. a4, a5 a6 a7
Find S2, S4, S6
I'm not following the problem at all O.o
the answers are a4 = 1-a
a5 = a -2
a6 = 1 -a
a7 = a-2
Maybe if i just get an example to solve a4 I might be able to figure out the rest...
The function f(x) is illustrated here...
There is only one 'attractive fixed point' in and, because f(x) crosses the x axis with slope -2 any initial value a will produce a sequence asyntotically oscillating around - 1/2. Regarding the 'sum' is...