Question

The first term in a sequence of numbers is 1/2

Each term after the first term is 1 more than twice its previous term.
What is the 4th term?
OA. 4
B. 5
C. 11
OD. 23

Answer 1

The correct answer is C. The 4th term is 11.

Explanation:

Since the next term is one more than twice the previous, we can calculate it by the following expression:

`a_(n) = 2*a_(n-1) + 1`

So the second term is:

`a_2 = 2*(1)/(2) + 1\\a_2 = 2`

The third term:

`a_3 = 2*2 + 1\\a_3 = 5`

And the fourth term:

`a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11`

The correct answer is C. The 4th term is 11.