Solve this multiple-choice question and choose the correct option.

Observation Natural numbers appear in increasing order but odd multiples of 3 (3, 9, 15, …) are omitted. Powers of 2 (2, 4, 8, …) appear twice. Check the run … 7, 8, 8, 10, 11, (skip 9 as it is an odd multiple of 3) → next allowed integer is 12. Note This explains earlier duplications at 2, 4 and 8, and the absence of 3 and 9.

Home » Verbal Reasoning » Series Completion

Number sequence (increasing integers with special cases): determine the next term. Sequence given: 2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11, ? Infer the inclusion/omission rule and compute the next number. Choose the correct value.

Difficulty: Medium

Correct Answer: 12

Explanation:

Observation

Natural numbers appear in increasing order but odd multiples of 3 (3, 9, 15, …) are omitted.
Powers of 2 (2, 4, 8, …) appear twice.

Check the run … 7, 8, 8, 10, 11, (skip 9 as it is an odd multiple of 3) → next allowed integer is 12.

Note This explains earlier duplications at 2, 4 and 8, and the absence of 3 and 9.

← Previous Question Next Question→

More Questions from Series Completion

Cubes sequence identification: pick the number that does NOT belong to the list of perfect cubes. Series displayed: 1, 8, 27, 64, 125, … Recognize these as n³ and find the outlier among the options. Choose the number that is not a perfect cube.
Interleaved arithmetic progressions (+11): find the missing term in the two intertwined sequences. Series given: 13, 32, 24, 43, 35, ?, 46, 65, 57, 76 Observe that odd and even positions each form an AP with common difference +11. Compute the missing value at the 6th position.
Add successive powers of 2: complete the number series by identifying the additive pattern. Sequence given: 22, 24, 28, ?, 52, 84 The increments are 2, 4, 8, 16, 32, … (doubling each time). Find the missing term.
Number series with increasing differences (+8 each step): find the missing term. Sequence given: 3, 15, ?, 63, 99, 143 Identify the first differences and continue the pattern to fill the blank. Choose the correct value.
Composite patterned series (doubling blocks interlaced with small reducers): determine the missing value. Segmented sequence: 90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3 Notice “doubling runs” (50→100→200) interleaved with small collapses (e.g., ? → 3). Find the value of the missing term that keeps the interleaving consistent.
Alternating ×4 and ÷2 pattern: complete the sequence. Series given: 48, 24, 96, 48, 192, ? Identify the repeating two-step rule and compute the next term. Choose the correct number.
Number series with differences as consecutive multiples of 13: find the next term. Sequence given: 2, 15, 41, 80, ? Observe that consecutive differences are 13, 26, 39, … and continue the pattern. Choose the correct value.
Number series (next term): Increasing differences by a constant step of 5. Given sequence: 6, 11, 21, 36, 56, ? Identify the missing number that continues the pattern. Choose the correct value.
Number series (next term): Alternating differences doubling in magnitude with sign flip. Given sequence: 563, 647, 479, 815, ? Find the next number using the alternating ± pattern on differences. Choose the correct value.
Number series (concatenated odd pairs): Continue the side-by-side odd-number progression. Given sequence: 13, 35, 57, 79, 911, ? Identify the next concatenated pair of consecutive odd numbers. Choose the correct value.

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion