Answer:
[tex]a_4=32[/tex]
Step-by-step explanation:
The given sequence is [tex]a_n=2\cdot4^{n-2}[/tex]
In order to find the fourth term, substitute n = 4
[tex]a_4=2\cdot4^{4-2}[/tex]
The exponent becomes 4 -2 = 2
[tex]a_4=2\cdot4^{2}[/tex]
Now, 4^2 = 16. Hence, we have
[tex]a_4=2\cdot16[/tex]
Finally, multiply 2 and 16
[tex]a_4=32[/tex]
Hence, the fourth term is 32.
