Question

Write each term as a power of 4 and write the next three terms of the sequence 256, 64, 16 , 4

Answer 1

$4^{4}$, $4^{3}$,  4², $4^{1}$

continuing the sequence, the next three terms will be

$4^{0}$, $4^{- 1}$, $4^{- 2}$

the sequence is 256, 64, 16, 4, 1, $\frac{1}{4}$, $\frac{1}{16}$