The first term in a sequence is 1 and the second term is 5. From the third term onwards, each term is the average (arithmetic mean) of all preceding terms. What is the 27th term in the sequence?
Answer: 3
Explanation
Let's analyze the sequence:
- Term 1: 1
- Term 2: 5
From the third term onwards, each term is the average of all preceding terms. So:
- Term 3: (1+5)/2 = 3
- Term 4: (1+5+3)/3 = 3
- Term 5: (1+5+3+3)/4 = 3
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