The first term in a sequence is 1 and the second term is 15. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 35th term in the sequence?
Pick one: A) 8 B) 15 C) 35 D) 70 E) 135
The third term is 8 since this is the average of 1 and 15.   Then the next terms will all be 8 since the average stays at 8.   The answer is 8.
<result>A</result>
The first term in a sequence is 1 and the second term is 15. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 35th term in the sequence?