Answer:
[tex]a_{11} =4096[/tex]
Step-by-step explanation:
4, 8, 16,.....
1. Find the common ratio
second term/first term = 8/4 = 2 = r (the common ratio)
2. Write the rule, and evaluate for the 11 term.
[tex]a_{n} = a_{1}r^{n-1}[/tex]
[tex]a_{11} = 4 (2^{11-1})[/tex]
[tex]a_{11} = 4 (2^{10})[/tex]
[tex]a_{11} = 4(1024)[/tex]
[tex]a_{11} =4096[/tex]
