Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achilles ate in the nth hour since he got it.

f is a sequence. What kind of sequence is it?

A. Arithmetic

B. Geometric


Write an explicit formula for the sequence.

f(x)=?



WILL GIVE BRAINLIEST ANSWER (if it is right)

Respuesta :

Answer:

it's a geometric sequence. the explicit formula is: 8 times 1/2^n-1

Answer:

B. Geometric. [tex]f(n) =16\cdot \left(\frac{1}{2}\right)^{n}[/tex], [tex]\forall n \in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

The problems shows a geometric sequence, since the statement describes succesive halves that are consumed by Achilles. The formula is:

[tex]f(n) =\Sigma_{i=1}^{n} 16\cdot \left(\frac{1}{2}\right)^{i}[/tex], [tex]\forall n \in \mathbb{N}[/tex]