sequence 1 8 27 64 125 _ what will be the next number?
Answers
The sequence is,
1^3=1
2^3=8
3^3=27
4^3=64
5^3=125
6^3=216
Hope it helps u.
Given:
A series of numbers 1, 8, 27, 64, 125.
To Find:
The next number of the sequence.
Solution:
The given problem can be solved by obtaining a common logic between every term of the sequence.
1. The first term in the sequence is 1. It can be also written as,
=> 1 = 1 x 1 x 1,
2. The second term in the sequence is 8. It can be also written as,
=> 8 = 2 x 2 x 2,
3. The third term in the sequence is 27. It can be also written as,
=> 27 = 3 x 3 x 3,
4.The fourth term in the sequence is 64. It can be also written as,
=> 64 = 4 x 4 x 4,
5. The fifth in the sequence is 125. It can be also written as,
=> 125 = 5 x 5 x 5,
6. The nth term in the sequence can be formulated as,
=> nth term = n x n x n,
7. Therefore, the sixth term in the sequence is,
=> 6th term = 6 x 6 x 6,
=> 216.
Therefore, the next term of the sequence is 216.