What is the fifth term of the geometric sequence? 5, 15 , 45,
135, 405.
To find the fifth term of a geometric sequence, you can use the formula:
an = a1(r)^(n-1)
where
an is the nth term
a1 is the first term
r is the common ratio
n is the number of terms you want to find
In this case, we know the first three terms of the sequence:
a1 = 5
a2 = 15
a3 = 45
We can use this information to find the common ratio:
r = a2/a1 = 15/5 = 3
r = a3/a2 = 45/15 = 3
Since the ratio is the same for all terms in a geometric sequence, we can use this ratio to find the fifth term:
a5 = a1(r)^(5-1) = 5(3)^4 = 405
Therefore, the fifth term of the geometric sequence is 405.