Identify Number Sequence Pattern
The question presents a number sequence: 1, 8, 27, 64, 125, ?, 343.
We need to find the missing number represented by the question mark.
Analyze the Sequence Terms
Let's examine the relationship between the numbers in the sequence:
- The first term is 1, which is $1^3$ (1 x 1 x 1).
- The second term is 8, which is $2^3$ (2 x 2 x 2).
- The third term is 27, which is $3^3$ (3 x 3 x 3).
- The fourth term is 64, which is $4^3$ (4 x 4 x 4).
- The fifth term is 125, which is $5^3$ (5 x 5 x 5).
- The seventh term is 343, which is $7^3$ (7 x 7 x 7).
Determine the Missing Term's Position
The sequence follows the pattern of cubes of consecutive positive integers ($n^3$). The terms correspond to $n=1, 2, 3, 4, 5, ?, 7$.
The missing term is in the 6th position, so it should correspond to $n=6$.
Calculate the Missing Number
To find the missing number, we calculate the cube of 6:
$ 6^3 = 6 \times 6 \times 6 = 216 $
Therefore, the missing number in the sequence is 216.
Similar Questions
- 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 - Identify the pattern.
111x222, 222x333, 333x444, ______. Which fits next?
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 52, 74, 104, 143, ?
Select the number that can replace the question mark (?) in the following series.
17, 19, 22, 27, 34, 45, 58,?Select the number from among the given options that can replace the question mark (?) in the following series.
10, 14, 31, 35, 73, 77, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
215, 231, 256, 292, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
6, 6, 8, 24, 28, 140, ?
