12, 6, 0, -6, ?, -18
Number Series Logic
Analyze the given number series: 12, 6, 0, -6, ?, -18.
We need to identify the pattern connecting the terms.
- Difference between the first and second term: $12 - 6 = 6$
- Difference between the second and third term: $6 - 0 = 6$
- Difference between the third and fourth term: $0 - (-6) = 6$
The series is decreasing by a constant value.
Finding the Missing Term
The pattern is an arithmetic progression where each term is obtained by subtracting 6 from the previous term.
Let the missing term be 'x'.
- The fourth term is -6.
- To find the fifth term (x), subtract 6 from the fourth term: $x = -6 - 6$
- Calculation: $x = -12$
- To verify, check the difference between the calculated fifth term (-12) and the sixth term (-18): $-12 - (-18) = -12 + 18 = 6$. The pattern holds true.
Therefore, the missing number in the series is -12.
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Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
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Select the number that can replace the question mark (?) in the following series.
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