The ratio is common, so you could write:
a1 * r^4 = a^5 (you do r^4 because there are 4 times you need to multiply by the ratio to get from a1 to a5)
Plug in the values:
3 * r^4 = 48
Divide by 3:
r^4 = 16
Take the fourth root of both sides:
r = 2
The common ratio is 2.
Answer:
The common ratio for the geometric sequence is:
2
Step-by-step explanation:
In general, the terms of geometric sequence is given as:
[tex]a,ar,ar^2,ar^3,...[/tex]
where a is the first term and r is the common ratio
Here, a=3
and fifth term of geometric sequence=48
i.e. [tex]ar^4=48[/tex]
[tex]3r^4=48\\\\r^4=16\\\\r^4=2^4\\\\r=2[/tex]
Hence, the common ratio for the geometric sequence is:
2
