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What should come in place of the question mark (?) in the given series? 1230 1232 1236 1242 1250 ?
1264
1263
1262
1260
1260
Observe the differences between consecutive terms; they follow a simple arithmetic progression of increasing even numbers (2, 4, 6, 8, ...).
Observe the differences between consecutive terms; they follow a simple arithmetic progression of increasing even numbers (2, 4, 6, 8, ...).
Analyze consecutive differences
Calculate the difference between each term: 1232 - 1230 = 2; 1236 - 1232 = 4; 1242 - 1236 = 6; 1250 - 1242 = 8.
Identify the pattern
The differences are 2, 4, 6, 8, which are consecutive even numbers. Following this pattern, the next difference must be 10.
Calculate the final term
Add the next difference to the last term: 1250 + 10 = 1260.
A: 1264 is incorrect as it implies a difference of 14, B: 1263 is incorrect as it is an odd number and doesn't fit the addition of 10, C: 1262 is incorrect as it implies a difference of 12.
D is correct because the series follows an addition pattern of consecutive even numbers (2, 4, 6, 8, 10), resulting in 1250 + 10 = 1260.
When solving number series, always write down the differences between terms first; if the first level of differences doesn't reveal a pattern, check the second level of differences.
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