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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 52, 34, 69, 56, 86, 78, 103,?
94
120
108
100
100
The series alternates between two patterns: one increasing by +17, +17, +17, and another increasing by +22, +22, +22.
The series alternates between two patterns: one increasing by +17, +17, +17, and another increasing by +22, +22, +22.
Analyze the pattern
Observe the alternating terms. Term 1 (52), Term 3 (69), Term 5 (86), Term 7 (103) form one progression: 52+17=69, 69+17=86, 86+17=103.
Solve for the target term
Term 2 (34), Term 4 (56), Term 6 (78) form the second progression: 34+22=56, 56+22=78. The next term (Term 8) must be 78+22 = 100.
A: 94 is incorrect as it does not follow the +22 progression. B: 120 is incorrect as it is significantly higher than the calculated sequence. C: 108 is incorrect as it does not follow the +22 progression from 78.
D is correct because the series consists of two interleaved sequences where the even-positioned terms increase by 22 (34, 56, 78, 100).
When a series shows both small increases and decreases or irregular jumps, always test if it is two alternating series combined.
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