What is the fifth term of the geometric sequence?
a1= 120, a2 = 36, a3 = 10.8, a6 = 0.2916
0.87
3.33
25.2
0.972
Let's find the common ratio (r) of the geometric sequence first:
r = a2 / a1 = 36 / 120 = 0.3
r = a3 / a2 = 10.8 / 36 = 0.3
Since both ratios give the same value, we can assume that the common ratio of the sequence is 0.3.
To find the fifth term (a5), we can use the formula:
an = a1 * r^(n-1)
a5 = 120 * (0.3)^(5-1)
a5 = 120 * (0.3)^4
a5 = 120 * 0.0081
a5 = 0.972
Therefore, the fifth term of the geometric sequence is 0.972.