UPSC Prelims 2021·CSAT·Logical Reasoning·Series and Sequences

What is the value of 'X' in the sequence 2, 7, 22, 67, 202, X, 1822, ?

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Last updated 23 May 2026, 3:31 pm IST
  1. A603
  2. B605
  3. C607Correct
  4. D608

Explanation

The sequence follows the pattern: Each term is obtained by multiplying the previous term by 3 and then adding 1. Let's verify the pattern: 2 * 3 + 1 = 7 7 * 3 + 1 = 22 22 * 3 + 1 = 67 67 * 3 + 1 = 202 Applying this pattern to find X: X = 202 * 3 + 1 X = 606 + 1 X = 607 Let's verify the next term with X = 607: 607 * 3 + 1 = 1821 + 1 = 1822 (This matches the given next term) Therefore, the value of X is 607. Option C) 607 is correct as it fits the established pattern. Options A, B, D are incorrect as they do not follow the pattern.
Logical Reasoning: What is the value of 'X' in the sequence 2, 7, 22, 67, 202, X, 1822, ?

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