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Complete the given series: 2, 4, 10, 28, _____.

Complete the given series: 2, 4, 10, 28, _____.

  • (A) 82
  • (B) 88
  • (C) 78
  • (D) 72
  • Solution: Let's work through this step by step.
  • The series is: 2, 4, 10, 28, ...
  • First, let's see how each term relates to the one before it.
  • From 2 to 4: 2 times 2 equals 4.
  • From 4 to 10: 4 times 2 plus 2 equals 10.
  • From 10 to 28: 10 times 2 plus 8 equals 28.
  • The added numbers don’t follow an obvious pattern, so let's look at the differences between terms instead.
  • The differences are:
  • 4 minus 2 equals 2,
  • 10 minus 4 equals 6,
  • 28 minus 10 equals 18.
  • These differences—2, 6, 18—each seem to be three times the previous one.
  • If this continues, the next difference should be 18 multiplied by 3, which is 54.
  • Adding this to the last term, 28 plus 54 equals 82.
  • So, the next number in the series should be 82.
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Related MCQs:

 ‘NATO’ is an abbreviation of:

March 18, 2026 No Comments
  • (A) North Atlantic Treaty Organization
  • (B) Non-Aligned Treaty Organization
  • (C) Non-Aligned Trading Organization
  • (D) North American Transport Organization

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