The first term in a sequence is 1 and the second term is 7. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 25th term in the sequence?  Choose the correct choice from the following options:
A) 2.5
B) 3
C) 4
D) 25
E) 100
The third term is 4 since this is the average of 1 and 7.   Then the next terms will all be 4 since the average stays at 4.   The answer is 4.
<result>C</result>
The first term in a sequence is 1 and the second term is 7. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 25th term in the sequence?