Correct option is A
Given:
Series: 15, 21, 33, 51, 75, ?
Logic: Difference of two constitutive number is increasing from 16,12,18,24
21−5=1621 - 5 = 1621−15=6
33−21=1233 - 21 = 1233−21=12
51−33=1851 - 33 = 1851−33=18
75−51=2475 - 51 = 2475−51=24
The differences alternate between increasing by+6+6+6 and decreasing by−4-4−4:
16,12,18,2416, 12, 18, 2416,12,18,24
Following this pattern, the next difference is:
24+6=3024 + 6 = 3024+6=30.
24+6=3024 + 6 = 3024+6=30.
Next Term:
75 +30 = 105
The missing number is 105
Thus, The correct answer is (a) 105
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