JEE Advanced Mathematics question

The numbers 1, 4, 16 can be three terms (not necessarily consecutive) of

Answer: (C),(D)

Solution

**AP:** take 1 as the first term, 4 as the th and 16 as the th: , . For every positive integer , , , works (e.g. : ). Infinitely many APs: (c)

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Question ID VK-107889