56 68 87 113 146 ?
Series Pattern Analysis: Finding the Missing Term
To find the missing number in the series 56, 68, 87, 113, 146, ?, we first examine the differences between consecutive terms.
- Difference between 68 and 56: \(68 - 56 = 12\)
- Difference between 87 and 68: \(87 - 68 = 19\)
- Difference between 113 and 87: \(113 - 87 = 26\)
- Difference between 146 and 113: \(146 - 113 = 33\)
The sequence of differences is 12, 19, 26, 33.
Identifying the Second Difference
Now, let's find the differences between these consecutive differences (the second differences):
- \(19 - 12 = 7\)
- \(26 - 19 = 7\)
- \(33 - 26 = 7\)
The second difference is constant and equal to 7.
Calculating the Next Term
To find the next difference in the first sequence of differences, we add the constant second difference (7) to the last difference (33):
Next difference = \(33 + 7 = 40\)
Finally, to find the missing term in the original series, we add this next difference (40) to the last term of the series (146):
Missing term = \(146 + 40 = 186\)
Therefore, the number that should come in place of ? is 186.
Similar Questions
In the following series, one number is missing as shown by the question mark (?). Select the missing number form the given options.
8, 12, 16, 20, ?Select the number missing from the given series.
3, 12, __________, 21612- Select the number missing from the given number series.
4, 9, 20, 44, ? In the following series, one number is missing as shown by the question mark (?) select the missing number from the given options.
3, 8, 13, 18, ?Select the number missing from the given sequence.
1, 2, 6, ______, 120, 720Find the next two terms in the series.
J, L, O, S, ?, ?Find the next term in the series.
X, V, T, R, P, ?What will be next number in the series?
0, 1, 4, 27, 16, 125, 36, ?Choose the correct alternative which will complete the following series.
4, 8, 12, 24, 18, ?Choose the correct alternative which will complete the following series:
21, 55, 19, 45, 17, 35, ?
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, .........
