e) \( 1,2: 3 \)

To solve the study problem with the input \( 1,2: 3 \), we need to understand the structure of the problem. It seems to be a mathematical expression or a rule that we need to apply. The notation \( 1,2: 3 \) can be interpreted in a few different ways: 1. **Fraction notation**: It could be a fraction where 1 and 2 are the numerator and denominator, respectively, and 3 is the result. However, fractions are typically written as \( \frac{1}{2} \) or \( 1/2 \), not \( 1,2: 3 \). 2. **Function notation**: It could be a function where the input is \( 1,2 \) and the output is \( 3 \). In this case, we would need to know the function to determine how to apply it. 3. **Sequence notation**: It could be a sequence where the first two terms are 1 and 2, and the colon (":") is used to indicate that the sequence continues to the third term, which is 3. Without additional context, it's difficult to determine the exact meaning of \( 1,2: 3 \). However, I will provide solutions for each of the interpretations above: 1. **If it's a fraction**: Since this interpretation is unlikely, we'll ignore it. 2. **If it's function notation**: We would need to know the function to apply it. Without that information, we cannot solve this. 3. **If it's sequence notation**: The sequence starts with 1 and 2, and the third term is 3. This could be a simple sequence where each term is the sum of the previous two terms (Fibonacci sequence), but there's no clear indication of that. We can't determine the pattern without more information. Given the lack of context, the best we can do is to assume that \( 1,2: 3 \) is a sequence where the first two terms are 1 and 2, and the third term is 3. In this case, the sequence could be: 1, 2, 3 This is a very simple sequence, and there's no clear pattern beyond the first three terms. If you have more information or a specific rule that should be applied, please provide it, and I can help you solve the problem accordingly.