Question: How many alphabetic strings (strings containing letters only) of length n start with a vowel or end with a consonant? For example, ABBE, BCD, AXYZ

How many alphabetic strings (strings containing letters only) of length n start with a vowel or end with a consonant? For example, ABBE, BCD, AXYZ all start with a vowel or end with a consonant; DCBA does not. Assume Y is always a consonant. Prove your result.

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