Answer:
The 6th term of the sequence is 6144/243
Step-by-step explanation:
From what we have, we can see that the sequence might be geometric
to confirm this, we have to check if the common ratio is the same all through
To know this, we have to divide the succeeding term by the preceding term and check if the results for two sets are equal
thus, we have it that;
32/3 * 1/8 = 8/6
= 4/3 = 4/3
We can confirm that the sequence is thus geometric
Now, to find the nth term of a geometric sequence, we have it that;
Tn = ar^(n-1)
where a is the first term, given as 6
r is the common ratio given as 4/3
n is the term number given as 6
Thus, we have this as:
T6 = 6 * (4/3)^(6-1)
T6 = 6 * (4/3)^5
T6 = 6144/243
