The first term in a sequence is 1 and the second term is 21. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 38th term in the sequence?	Pick one.
A) 8
B) 11
C) 21
D) 38
E) 49
The third term is 11 since this is the average of 1 and 21.   Then the next terms will all be 11 since the average stays at 11.   The answer is 11.
<result>B</result>
The first term in a sequence is 1 and the second term is 21. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 38th term in the sequence?