Home » Verbal Reasoning » Series Completion

Number series (next term): Increasing differences follow n² − 1. Given sequence: 2, 2, 5, 13, 28, ? Use the difference pattern Δ = 1²−1, 2²−1, 3²−1, 4²−1, ... Choose the correct value.

Difficulty: Easy

Correct Answer: 52

Explanation:

Compute differences
2 → 2: +0 = 1² − 12 → 5: +3 = 2² − 15 → 13: +8 = 3² − 113 → 28: +15 = 4² − 1Next difference = 5² − 1 = 24

Step-by-step calculation
Missing term = 28 + 24 = 52

Verification
Pattern of differences 0, 3, 8, 15, 24 matches n²−1 with n = 1, 2, 3, 4, 5.

← Previous Question Next Question→

More Questions from Series Completion

Number series (mixed repeated-difference pattern): find the missing term to complete the sequence. Sequence: 0, 2, 8, 14, ?, 34 Choose the correct value that fits the pattern.
Number series (add consecutive squares): find the next term. Sequence: 1, 5, 14, 30, 55, 91, ? Choose the correct next value.
Arithmetic progression check: determine which option belongs to the series. Series: 10, 17, 24, 31, 38, … (constant difference) Choose the number that appears in this series.
Division-by-successive-integers pattern: identify the missing second term. Sequence: 240, ?, 120, 40, 10, 2 Assume successive divisions by 1, 2, 3, 4, and 5. Choose the correct missing value.
Number series (×n + n rule): compute the next term. Sequence: 2, 3, 8, 27, 112, ? At each step, multiply by the step index and add the same index. Choose the correct next value.
Number series (increasing differences by 11): find the next term. Sequence: 6, 17, 39, 72, ? Compute the missing value using the difference pattern.
Two interleaved sequences: fill the last two terms. Series: 20, 20, 19, 16, 17, 13, 14, 11, ?, ? Identify the odd/even position patterns and compute the missing pair.
Product of three consecutive integers: find the next term. Sequence: 24, 60, 120, 210, ? Each term equals n·(n+1)·(n+2) for increasing n. Choose the next value.
Powers of 5 interleaved: determine the missing term. Sequence: 625, 5, 125, 25, 25, ?, 5 Recognize the pattern via exponents of 5 and fill in the blank.
Increasing increments by 10: find the next term. Sequence: 10, 100, 200, 310, ? Differences grow by 10 each step. Choose the correct next value.

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion