Question
What should come in place of ‘?’ in the given series?
33 40 54 75 103 ?
The correct answer is
138
The question asks to find the missing number in the given number series: 33, 40, 54, 75, 103, ?
Number Series Pattern Analysis
To find the missing number, let's analyze the pattern by finding the differences between consecutive terms:
- $40 - 33 = 7$
- $54 - 40 = 14$
- $75 - 54 = 21$
- $103 - 75 = 28$
Identifying the Progression in Differences
The differences between the terms are 7, 14, 21, 28. We can observe that this sequence of differences is an arithmetic progression where each term increases by 7.
- $14 - 7 = 7$
- $21 - 14 = 7$
- $28 - 21 = 7$
Calculating the Next Difference and Missing Term
Following this pattern, the next difference should be $28 + 7 = 35$.
To find the missing term in the original series, we add this next difference (35) to the last known term (103):
Missing Term = $103 + 35 = 138$.
Therefore, the number that should come in place of ‘?’ is 138.
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Important Questions from Number Series (Notes)
- What will come in place of question mark (?) in the following series:
$12, 6, 6, 9, 18, ?$ - In the following question, select the missing number from the given series:
$2, 5, 17, 71, ?, 2159$ - Which number will come next in the series:
8, 4, 4, 6, 12, ? - One term in the given number series is wrong. Find out the wrong term.
3,10,27,4,16,64,5,25,125 - What should come in place of the question mark (?) in the given series?
$15 \ 22 \ 33 \ 50 \ 71 \ 98 \ ?$
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