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Question

A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

6, 10, 18, 34, ?, 130

This question was previously asked in
SSC CGL 2016 (Tier 1) Previous Year Question Paper (11-Sep-2016) (Shift 2)
The correct answer is

66

To identify the missing term in the series 6, 10, 18, 34, ?, 130, let's analyze the pattern between the terms.

Observe the differences between consecutive terms:

  • 10 - 6 = 4
  • 18 - 10 = 8
  • 34 - 18 = 16

The differences are 4, 8, and 16. Notice that each difference is a double of the previous:

  • 4 x 2 = 8
  • 8 x 2 = 16

Following this pattern, the next difference should be 16 x 2 = 32.

Add this to the last known term:

  • 34 + 32 = 66

Verifying with the next term:

  • 66 + (32 x 2) = 66 + 64 = 130

The difference fits the pattern. Thus, the missing term is 66.

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Similar Questions

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  2. Select the number from among the given options that can replace the question mark (?) in the following series.

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Important Questions from Number Series

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