Write the explicit formula for the geometric sequence. 64, 32, 16, 8, a) an = 8 · 4n-1 b) an = 8 · 2n-1 c) an = 32 · 0.5n-1 d) an = 64 · 0.5n-1 which 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,

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step-by-step explanation:

where are the options?

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