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?
- 2.5
- 3
- 5.5
- None of these
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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