Answer:
1984
Step-by-step explanation:
The formula for the general term of a geometric sequence is given by the formula:
[tex]a_n=a_{1}r^{n-1}[/tex]
Where
a_1 is the first term
r is the common ratio
n is the number of term (nth term)
For this problem, we have to find the 4th term, so n = 4.
Also, given the first term (a_1) is 31
and, common ratio (r) is 4
We substitute and find:
[tex]a_n=a_{1}r^{n-1}\\a_4=(31)(4)^{4-1}\\a_{4}=(31)(4)^{3}\\a_4=1984[/tex]
Hence,
The 4th term of this sequence is "1984"
