Solving the Number Series: 0, 7, 26, 63, ?
The question asks to find the next term in the given number series: 0, 7, 26, 63.
Identifying the Series Pattern
Let's examine the relationship between the terms and their position in the series. We can observe a pattern related to the cubes of consecutive integers:
- The first term is 0. This can be represented as $1^3 - 1 = 1 - 1 = 0$.
- The second term is 7. This can be represented as $2^3 - 1 = 8 - 1 = 7$.
- The third term is 26. This can be represented as $3^3 - 1 = 27 - 1 = 26$.
- The fourth term is 63. This can be represented as $4^3 - 1 = 64 - 1 = 63$.
The pattern identified is that each term is one less than the cube of its position number ($n^3 - 1$, starting with $n=1$).
Calculating the Next Term
To find the next term in the series, we need to apply the same pattern for the fifth position ($n=5$):
- The fifth term = $5^3 - 1$
- $5^3 = 5 \times 5 \times 5 = 125$
- Fifth term = $125 - 1 = 124$
Conclusion
The missing term in the series 0, 7, 26, 63 is 124.
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? : $98, 90, 82, 74, ?, 58$
- 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 - What should come in place of the question mark '?' in the following number series?
12, 6, 0, -6, ?, -18 Complete the series.
10, 20, 18, 36, 34,68 ________- What should come at the place of question mark?
3, 7, 14, 24, 37, ? - The series given below contains a sequence of numbers. Accordingly identify the incorrect combination 4, 5, 12, 39, 163
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
