3.2 Finding a Specific Letter After Alternating Shifts
3.2 Finding a Specific Letter After Alternating Shifts - Practice
- Description: A sequence or word is given with alternating shift rules, and the task is to identify the letter at a specific position in the resulting sequence or word after applying the shifts.
- Example Question: In the word "TEST", shift odd-positioned letters forward by 1 and even-positioned letters backward by 2. What is the 3rd letter in the new word?
- Solution:
- T (1st, odd): T (20) + 1 = 21 → U.
- E (2nd, even): E (5) - 2 = 3 → C.
- S (3rd, odd): S (19) + 1 = 20 → T.
- T (4th, even): T (20) - 2 = 18 → R.
- New word: U, C, T, R. 3rd letter: T.
- Key Focus: Computing the new letter at a specific position while tracking alternating rules.
- Variants:
- Find the letter at a given position (e.g., 2nd or 5th).
- Identify the first or last letter after shifts.
- Find letters meeting a condition (e.g., the first vowel in the new sequence).
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