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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.

Difficulty: Medium

Correct Answer: 24

Explanation:

Given data
Sequence: 0, 2, 8, 14, ?, 34

Concept/Approach
Look at first differences and check for a repeating or growing pattern.

Step-by-step differences
2 − 0 = 2 8 − 2 = 6 14 − 8 = 6 ? − 14 = d₄ 34 − ? = d₅

Pattern observation
After the initial 2, the equal differences appear in pairs that increase by 4: (6, 6), then (10, 10), …

Compute the missing terms
d₄ = 10 ⇒ ? = 14 + 10 = 24 d₅ = 10 ⇒ 24 + 10 = 34 (matches)

Final Answer
24

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