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
- 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, .........
