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What is the next fraction in the sequence
(2/3) (4/8) (8/27) (16/82)

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Answer:

To find the next fraction in the sequence, let's analyze the pattern:

1. The numerator of each fraction is a power of 2: 2^1, 2^2, 2^3, 2^4.

2. The denominator of each fraction appears to be increasing as well: 3, 8, 27, 82.

Now, let's calculate the next fraction:

Numerator: 2^5 = 32

Denominator: The pattern for the denominator isn't as straightforward, but we can try to find a pattern by looking at the differences between consecutive denominators:

8 - 3 = 5

27 - 8 = 19

82 - 27 = 55

The differences between consecutive denominators don't seem to follow a simple arithmetic progression, so we can't determine the exact next denominator using a straightforward formula. However, we can continue the pattern by adding the next positive integer to 82:

82 + 1 = 83

So, the next fraction in the sequence would be:

(32/83)

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