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What should come in place of the question mark (?) in the given series? 29 11 29 15 29 19 29 23 29 ?
31
25
29
27
27
Observe the alternating series: '29' is constant at every odd position, while the even positions follow an arithmetic progression (+4).
Observe the alternating series: '29' is constant at every odd position, while the even positions follow an arithmetic progression (+4).
Analyze the Series
The series is 29, 11, 29, 15, 29, 19, 29, 23, 29, ?. Notice two interlaced patterns.
Identify Patterns
Odd terms (1st, 3rd, 5th, 7th, 9th) are all 29. Even terms (2nd, 4th, 6th, 8th, 10th) follow an addition pattern: 11, 15, 19, 23.
Calculate Missing Term
The difference between consecutive even terms is +4 (15-11=4, 19-15=4, 23-19=4). Thus, the next term is 23 + 4 = 27.
A: 31 is incorrect as it would follow 27; B: 25 is incorrect as the increment is +4 not +2; C: 29 is the constant odd-position value, not the result of the increment pattern.
D is correct because the even-placed terms follow an arithmetic progression of 11, 15, 19, 23, where the next term is 23 + 4 = 27.
Whenever you see a repeating number (like 29) interspersed in a series, treat it as two separate series to solve complex patterns faster.
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