76, 80, 71, 87, 62, ?
Number Series Analysis
The given number series is: 76, 80, 71, 87, 62, ?
Identifying the Pattern
We observe the difference between consecutive terms:
- $80 - 76 = +4$
- $71 - 80 = -9$
- $87 - 71 = +16$
- $62 - 87 = -25$
The operations involve adding and subtracting perfect squares:
- $+4$ is $+2^2$
- $-9$ is $-3^2$
- $+16$ is $+4^2$
- $-25$ is $-5^2$
The pattern is an alternating addition and subtraction of squares of consecutive integers ($2^2, 3^2, 4^2, 5^2, ...$).
Calculating the Next Term
To find the number that replaces the question mark, we continue the pattern. The last operation was subtraction ($-5^2$), so the next operation is addition ($+6^2$).
The calculation is: $62 + 6^2$
Calculate the value: $62 + 36 = 98$
Conclusion
The number that should come in place of the question mark '?' is 98.
Similar Questions
Which number breaks the pattern?
3, 6, 11, 20, 33, 70
- What should come in place of the question mark '?' in the following number series?
$45, 40, 50, ?, 55, 30$ - Complete the series.
$25, 36, 49, 64, 81, ?$ - What should come at the place of question mark? : $98, 90, 82, 74, ?, 58$
- In the following question, select the missing number from the given series.
169, 196, 225, 256, ? - What is the next number in the series?
1, 3, 9, 27, ___ - Complete the series.
7, 14, 12, 24, 22, ? - What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292 - Complete the series: 0, 7, 26, 63, ?
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
