I have final exams coming up and I’m trying to study for them but I’m just so confused on what I am doing

we have that
N 1
g(x)=2^x
For x=1, g(x)=2^1=2
For x=2, g(x)=2^2=4
For x=3, g(x)=2^3=8
so
the sequence is
2,4,8,16,...
N 2
we have
g(x)=2(2^x)
For x=1, g(x)=2(2^1)=4
For x=2, g(x)=2(2^2)=8
For x=3, g(x)=2(2^3)=16
so
the sequence is
4,8,16,32,...
N 3
we have
g(x)=(1/2)^x
For x=1, g(x)=1/2
For x=2, g(x)=1/4
Fr x=3, g(x)=1/8
so
the sequence is
1/2,1/4/1/8,1/16,...
N 4
we have
g(x)=(1/2)(2^x)
For x=1, g(x)=1
For x=2, g(x)=2
For x=3, g(x)=4
For x=4, g(x)=8
the sequence is
1,2,4,8,...
N 5
we have
g(x)=(1/2)(1/2)^x
For x=1, g(x)=1/4
For x=2, g(x)=1/8
For x=3, g(x)=1/16
For x=4, g(x)=1/32
the sequence is
1/4,1/8,1/16,1/32,...