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
What is the next number in the series?
100, 50, 25, ___- Complete the series.
2, 4, 7, 11, 16, ? - What should come at the place of question mark?
2, 5, 10, 17, 26, ? - 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 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 in place of the question mark '?' in the following number series?
76, 80, 71, 87, 62, ? - In the following number series, a wrong number is given. Find out the WRONG number.
9, 19, 39, 78, 159, 319
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
