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If p t h , 2 p t h and 4 p t h terms of an arithmetic progression are in geometric progression, then the common ratio of the geometric progression is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

t p = a + p - 1 d t 2 p = a + 2 p - 1 d t 4 p = a + 4 p - 1 d r = t 2 p t p = t 4 p t 2 p = t 4 p - t 2 p t 2 p - t p = 2 p d p d = 2

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