Respuesta :
Answer:
531,441 or 1/81
Step-by-step explanation:
You get this answer by multiplying each term by 9. for example: 9x9 is 81 and 81x9 is 729.
Unless this is going backwords and its division. Then the answer will be 1/81.
Answer:
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
r = [tex]\frac{81}{729}[/tex] = [tex]\frac{9}{81}[/tex] = [tex]\frac{1}{9}[/tex]
and a = 729, hence
[tex]a_{6}[/tex] = 729 × [tex](\frac{1}{9}) ^{5}[/tex]
= 729 × [tex]\frac{1}{59049}[/tex] = [tex]\frac{729}{59049}[/tex] = [tex]\frac{1}{81}[/tex]
