Question

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

Answer 1

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,...