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Number series (find the next term): Use the alternating 2×±1 rule. Given sequence: 6, 13, 25, 51, 101, ? Observation hint: each term is about double the previous, with alternating +1 and −1. Choose the correct next number.

Q: Number series (find the next term): Use the alternating 2×±1 rule. Given sequence: 6, 13, 25, 51, 101, ? Observation hint: each term is about double the previous, with alternating +1 and −1. Choose the correct next number.

Pattern Apply: next = (2 × previous) ± 1, alternating +1, −1, +1, −1, … Step-by-step 6 → 13: 2×6 + 1 = 1313 → 25: 2×13 − 1 = 2525 → 51: 2×25 + 1 = 5151 → 101: 2×51 − 1 = 101So next: 2×101 + 1 = 203 Final Answer 203

Difficulty: Easy

Correct Answer: 203

Explanation:

Pattern
Apply: next = (2 × previous) ± 1, alternating +1, −1, +1, −1, …

Step-by-step
6 → 13: 2×6 + 1 = 1313 → 25: 2×13 − 1 = 2525 → 51: 2×25 + 1 = 5151 → 101: 2×51 − 1 = 101So next: 2×101 + 1 = 203

Final Answer
203

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