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What should come in place of ‘?’ in the given series? 743, 648, 553, 458, 363, ?
246
275
268
253
268
Observe the constant subtraction: calculate the difference between the first two terms (743 - 648 = 95) and apply this decrement to all subsequent numbers.
Observe the constant subtraction: calculate the difference between the first two terms (743 - 648 = 95) and apply this decrement to all subsequent numbers.
Calculate the common difference
Subtract the second term from the first: 743 - 648 = 95. Verify with subsequent terms: 648 - 553 = 95, 553 - 458 = 95, 458 - 363 = 95.
Apply the difference to find the missing term
Since the pattern is a consistent decrease of 95, subtract 95 from the last given term: 363 - 95 = 268.
A: 246 is the result if 117 were subtracted, which is incorrect. B: 275 is the result if 88 were subtracted, which is incorrect. D: 253 is the result if 110 were subtracted, which is incorrect.
C is correct because the series follows a consistent arithmetic progression with a common difference of -95, and 363 minus 95 equals 268.
For any series problem, always calculate the difference between the first two terms first; if that difference remains constant across the series, you have identified the primary pattern immediately.
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