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What should come in place of the question mark (?) in the given series? 19 30 52 96 184 ?
359
362
361
360
360
Observe the differences between terms: 11, 22, 44, 88. The difference doubles at each step, so add 176 to the last term.
Observe the differences between terms: 11, 22, 44, 88. The difference doubles at each step, so add 176 to the last term.
Calculate differences
Find the difference between consecutive terms: 30-19 = 11, 52-30 = 22, 96-52 = 44, 184-96 = 88.
Identify the pattern
The differences (11, 22, 44, 88) form a geometric progression where each term is doubled: 112=22, 222=44, 44*2=88.
Calculate next term
The next difference must be 88*2 = 176. Add this to the last term: 184 + 176 = 360.
A: 359 is incorrect as the addition logic yields 360; B: 362 is incorrect based on the specific doubling pattern; C: 361 is mathematically inconsistent with the established difference sequence.
D is correct because the series follows an addition pattern where the difference between consecutive numbers doubles every time (11, 22, 44, 88, 176), resulting in 184 + 176 = 360.
If the difference between terms grows rapidly, always check if the differences are doubling or multiplying, as this is a common trait in high-growth series.
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