Question
What should come in place of ‘?’ in the given series?
15 19 27 39 55 ?
The correct answer is
75
Number Series Pattern Recognition
The question asks to identify the missing number in the given numerical series: 15, 19, 27, 39, 55, ?.
Step-by-step Solution
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Analyze the differences between consecutive terms in the series:
- $19 - 15 = 4$
- $27 - 19 = 8$
- $39 - 27 = 12$
- $55 - 39 = 16$
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Identify the pattern in these differences. The differences are 4, 8, 12, 16. This sequence is an arithmetic progression, increasing by 4 each time.
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Determine the next difference. Following the pattern, the next difference should be $16 + 4 = 20$.
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Calculate the missing term by adding this next difference to the last term of the series: $55 + 20 = 75$.
Therefore, the number that should come in place of ‘?’ is 75.
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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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