Which sequence below represents an exponential sequence

A. (2,6,10,14,18 ...)

B. (3,5,9,16,24 ...)

C. (4,8,24,96 ...)

D. (256,64,16,4 ...)

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