Answer:
The correct answer is C. The 4th term is 11.
Step-by-step explanation:
Since the next term is one more than twice the previous, we can calculate it by the following expression:
[tex]a_{n} = 2*a_{n-1} + 1[/tex]
So the second term is:
[tex]a_2 = 2*\frac{1}{2} + 1\\a_2 = 2[/tex]
The third term:
[tex]a_3 = 2*2 + 1\\a_3 = 5[/tex]
And the fourth term:
[tex]a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11[/tex]
The correct answer is C. The 4th term is 11.
