2014-11-24 09:00:00

The first term in a sequence is 1 and the second term is 3. After that, each term is found by taking the sum of the previous two terms and dividing it by 2. What is the 6th term in the sequence?

(A) 2
(B) 2.25
(C) 2.375
(D) 2.5
(E) 4

The correct answer is C
Explanation: The best approach to this question is to simply find the first six terms. The first two are given: 1, 3. The third will be the sum of those divided by 2: 1 + 3 = 4, 4/2 = 2.

The fourth term will be (2 + 3)/2 = 2.5
The fifth term will be (2.5 + 2)/2 = 2.25
The sixth term will be (2.25 + 2.5)/2 = 2.375.

The answer is 2.375, or  choice C.