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zimovet [89]
3 years ago
11

What is the explicit formula for this geometric sequence? 8, 4 2, 1

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

C

Step-by-step explanation:

The standard form for the explicit formula of a geometric sequence is given by:

a_n=a\cdot(r)^{n-1}

Where a is the initial term, r is the common ratio, and n is the nth term.

Our sequence is: 8, 4, 2, 1...

So, we can see that our initial term or a is 8.

Each subsequent term is half of the previous one. So, our common ratio is 1/2.

Let's substitute 8 for a and 1/2 for r to acquire:

a_n=8\cdot(\frac{1}{2})^{n-1}

So, our answer is C.

And we're done!

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