The sequence (fn\displaystyle {f}_{{n}}) is
4, 2, 6, 8, 14, 22, 36,
58, 94, 152, 246, 398, 644, 1042,
1686, 2728, 4414, 7142, 11556, 18698, 30254, ...
The initial two values are f0=4\displaystyle {f}_{{0}}={4} and f1=2\displaystyle {f}_{{1}}={2}. (Note, this indicates how the sequence is indexed.)

Let us take the value of n=2\displaystyle {n}={2}. Compute the value for each of the following:
a.   fn+1\displaystyle {f}_{{{n}+{1}}} =
b.   f2n\displaystyle {f}_{{{2}{n}}} =
c.   f3n2\displaystyle {f}_{{{3}{n}-{2}}} =