Answer:
D. (256,64,16,4..)
Step-by-step explanation:
An exponential sequence is one in which a term is gotten by simply multiplying the previous term with a particular fixed number.
They are written in the form:
yₙ = a * r⁽ⁿ ⁻ ¹⁾
Where yₙ = nth term of the sequence
a = first term before of the sequence
r = common ratio
The only option that represents that is option D.
The common ratio, r, is ¼ and the first term, a, is 256.
To get the second term,
y = 256 * ¼⁽² ⁻ ¹⁾ = 256 * ¹/₄ = 64
To get the third term,
y = 256 * ¼⁽³ ⁻ ¹⁾ = 256 * ¹/₄² = 256 * 1/16 = 16
To get the fourth term,
y = 256 * ¼⁽⁴ ⁻ ¹⁾ = 256 * ¹/₄³ = 256 * 1/64 = 4
