Final answer:
To continue the pattern A, C, E, G, I, we need to follow the sequence of incrementing each letter by two positions in the alphabet and alternating the case. The next three characters in the sequence are K, m, and O. Therefore, the sequence would then be A, C, E, G, I, K, m, O.
Step-by-step explanation:
The student's question involves completing a pattern by supplying the next three letters in the sequence. The given pattern is A, C, E, G, I, and the task is to determine what comes next. A quick analysis reveals that this is a simple alphabetical sequence with a twist. Each letter is incremented by 2 positions in the alphabet (A to C, C to E, et cetera), but there is a change in case from G to i, with i being lowercase. Following this pattern, after G (which is the seventh letter) is incremented by 2, we would expect the letter I. However, since the pattern includes a lowercase 'i' instead of an uppercase 'I,' this suggests an alternation in the case of letters. Hence, continuing this case alternation, we would move on to the following letter, which is K, and it should be uppercase, following the pattern of case changing with each subsequent letter.
Now, moving forward two places in the alphabet from 'i' we get 'k'. Therefore, the next letter in the pattern should be a lowercase 'k' (since 'i' was lowercase). Repeating this pattern results in the subsequent letters following the uppercase K being a lowercase 'm' and an uppercase 'O', completing the next three characters in the sequence based on the pattern established so far. The sequence would then be A, C, E, G, i, K, m, O.