Look at this series: 258, 268, 280, 294 ...
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Look at this series: 258, 268, 280, 294 ... What number should come next?
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Answer: C. 310
The series follows a pattern of increasing differences: 268 - 258 = 10, 280 - 268 = 12, 294 - 280 = 14. The differences increase by 2 each time (10, 12, 14...). Therefore, the next difference should be 16, making the next number 294 + 16 = 310.
Step-by-step Derivation:
Step 1: Find the differences between consecutive terms.
- 268 - 258 = 10
- 280 - 268 = 12
- 294 - 280 = 14
Step 2: Analyze the pattern of differences.
- The differences form a sequence: 10, 12, 14
- Each difference increases by 2
Step 3: Predict the next difference.
- Next difference = 14 + 2 = 16
Step 4: Calculate the next number.
- Next number = 294 + 16 = 310