Respuesta :
Answer:
[tex]a_n=27 \cdot (\frac{1}{3})^{n-1}[/tex].
Step-by-step explanation:
This is a geometric sequence that means there is a common ratio. That means there is a number you can multiply over and over to get the next term.
The first term is 27.
The second term is (1/3)(27)=9.
The third term is (1/3)(9)=3.
So the common ratio is 1/3.
That means you can keep multiplying by 1/3 to find the next term in the sequence.
The explicit form for a geometric sequence is [tex]a_n=a_1 \cdot r^{n-1}[/tex] where [tex]a_1[/tex] is the first term and [tex]r[/tex] is the common ratio.
We are given [tex]a_1=27[/tex] and [tex]r=\frac{1}{3}[/tex].
So the explicit form for the given sequence is [tex]a_n=27 \cdot (\frac{1}{3})^{n-1}[/tex].
Answer:
Its b on edge 2021
Step-by-step explanation:
just did it
