Answer:
Option D is correct.
Explicit formula for the geometric sequence is,
Step-by-step explanation:
Geometric sequence states that a sequence of numbers in which the ratio between consecutive terms is constant,
we can write a formula for the nth geometric sequence in the form of:
.....[1] where
is the first term and r is the common ratio between successive term.
Given the sequence: 64, 32, 16 , 8......
Here, first term () = 64.
Common ratio(r) = 0.5
Since,
,
......
Substitute the value of a and r in [1] we get;
therefore, the explicit formula for the geometric sequence is,