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What should come in place of '?' in the given series? 7 10 16 25 ?
34
43
40
37
37
Calculate the difference between consecutive terms: 10-7=3, 16-10=6, 25-16=9. Notice the differences are multiples of 3 (3, 6, 9, 12).
Calculate the difference between consecutive terms: 10-7=3, 16-10=6, 25-16=9. Notice the differences are multiples of 3 (3, 6, 9, 12).
Analyze the difference between terms
Look at the differences: 10 - 7 = 3, 16 - 10 = 6, 25 - 16 = 9.
Identify the pattern
The differences are increasing by 3 each time (3, 6, 9). The next difference must be 9 + 3 = 12.
Calculate the missing number
Add the next difference (12) to the last term (25): 25 + 12 = 37.
A: 34 results from an incorrect difference of 9; B: 43 results from an incorrect difference of 18; C: 40 results from an incorrect difference of 15.
D is correct because the series follows a pattern of adding successive multiples of 3 (3, 6, 9, 12) to the previous term, and 25 + 12 equals 37.
If the differences in a number series don't form a simple pattern, check the difference of those differences (the second level) to find a constant jump.
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