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What should come in place of ‘?’ in the given series? 13 26 52 104 208 ?
415
416
417
414
416
Observe that each term is double the previous term (x2 multiplier) throughout the sequence.
Observe that each term is double the previous term (x2 multiplier) throughout the sequence.
Analyze the pattern
Calculate the ratio between consecutive numbers: 26/13 = 2, 52/26 = 2, 104/52 = 2, 208/104 = 2. The series follows a constant multiplication rule of 2.
Calculate the next term
Apply the rule to the last known term: 208 * 2 = 416. Therefore, the missing term is 416.
A: 415 is incorrect as it is 208 * 2 - 1, C: 417 is incorrect as it is 208 * 2 + 1, D: 414 is incorrect as it is 208 * 2 - 2.
B is correct because the series follows a consistent pattern of multiplying the previous term by 2 (208 * 2 = 416).
For multiplication-based series, always check the ratio between the last two numbers first to identify the multiplier immediately.
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