Correct option is C
Given:
20, 30, 18, 27, 16, 24, 14, 21, 12, 18, ?
Separate the sequence into two alternating sub-series
Sub-series 1 (odd positions): 20, 18, 16, 14, 12, ?
This sub-series decreases by 2 each time:
20−2=18,
18−2=16,
16−2=14,
14−2=12,
12−2=10
The next term in this sub-series is 10.
Sub-series 2 (even positions): 30, 27, 24, 21, 18
This sub-series decreases by 3 each time:
30−3=27,
27−3=24,
24−3=21,
The last term in this sub-series is already 18.
The full series becomes:
20, 30, 18, 27, 16, 24, 14, 21, 12, 18, 10
Correct answer: (C) 10
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