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.
Similar Questions
- What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- In the following number series, a wrong number is given. Find out the WRONG number.
1, 4, 16, 64, 324 - What comes next: 0, 1, 1, 2, 3, 5, 8, 13, ?, ?
- What should come at the place of question mark?
100, 81, 64, 49, ?, 25 - Find the WRONG number in the given series.
5040, 720, 120, 24, 4, 2 - What comes next: 10, 17, 26, 37, 50, ?
- Complete the series: 0, 7, 26, 63, ?
- What should come at the place of question mark?
144, 121, 100, 81, ?, 49 - 3, 6, 18, 72, 360, ?
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
15, 45, 75, 105, ?
Identify the number that does NOT belong to the following series.
18, 27, 35, 45, 54
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 41, 50, 66, ?
दिए गए विकल्पों में से वह संख्या चुनिए जो निम्नलिखित श्रृंखला में प्रश्नवाचक चिन्ह (?) को प्रतिस्थापित कर सके।
20, 21, 25, 34,?, 75
Select the correct option that will fill in the blank and complete the series.
45, 49, 58, 74, .........
