Question

What is the 6th term in this geometric sequence?

480, 240, 120, 60, ...

Answer 1

if u divide two consecutive terms u will get the ratio r of the sequence. and the n-th term would be
\[\large a_n=a_{n-1}\cdot r \]

Answer 2

i got 2 so then i plug it in?

Answer 3

well the terms are being halved....

and you have been given 4 terms... its easier to just halve 60 then havlve that answer for the 6th term

Answer 4

no.
the ratio is
\[ \frac{120}{240}=\frac{1}{2} \]

Answer 5

right. as @campbell_st just said.

Answer 6

okay so then it would be 30 if its half, then 15, then 7.5?

Answer 7

7.5 is the 6th term

Answer 8

no. that is the 7th term.

Answer 9

30 is the 5th term so 15 is the 6th term

Answer 10

oh right! counted ahead

Answer 11

thanks guys!