Given the following geometric sequence, find the common ratio. {0.45, 0.9, 1.8, ...}
0.45 times what=0.90?
seems to be 2
for
\(a_n\) and \(a_{n+1}\), (1 term and the next)
common ratio=\(\frac{a_n}{a_{n+1}}\)
0.45 and 0.9
0.9/0.45=2
common ratio is 2
Answer:
the common ratio is, 2
Step-by-step explanation:
Common ratio for geometric sequences states that the ratio of a term to the previous term.
It is represented by r
Given the sequence:
0.45, 0.9, 1.8, ...
This is a geometric sequence with first term 0.45
Common ration(r) = 2
Since;
\(\frac{0.9}{0.45} = 2\),
\(\frac{1.8}{0.9} = 2\) and so on
therefore, the common ratio is, 2