What are the missing values in the table representing the recursively defined geometric sequence f (x+1) = 4 (f (x))

X_f (x)

1_4

2_A

3_B

4_C

5_1,024

A=16

B=64

C=256

Step-by-step explanation:

I did the assignment

Hence, the values of unknowns A, B and C are:

A=16

B=64

C=256

Step-by-step explanation:

We are given a recursive defined geometric sequence f (x+1) = 4 (f (x))

X f (x)

1 4

2 A

3 B

4 C

5 1,024

When x=1,

we have f (x) = 4.

when so,

f (2) = 4f (1) = 4*4=16.

Hence, when x=2 f (x) = 16=A.

Similarly,

f (3) = 4*f (2)

f (3) = 4*16=64

Hence, when x=3 f (x) = 64=B.

Similarly,

f (4) = 4*f (3) = 4*64=256

i ... e when x=4 f (x) = 256=C.

similarly,

f (5) = 4*f (4) = 4*256=1024

when x=5 f (x) = 1024

Hence, the values of unknowns A, B and C are:

A=16

B=64

C=256