following sequence: 1,4,9,16,......
1x1x=1
2x2=4
3x3=9
mmhh?
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
The given sequence is 1, 4, 9, 16, and so on. To understand the pattern and find the next number in the sequence, we can observe that each number in the sequence is the square of a natural number.
Here's how we can solve this:
1. Identify the pattern: In this case, each number in the sequence is the square of the natural numbers starting from 1. The pattern is that the nth term in the sequence is the square of n.
2. Find the next number: To find the next number in the sequence, we need to find the square of the next natural number. In this case, the next natural number is 5. So, the next number in the sequence would be 5^2 = 25.
Therefore, the next number in the sequence would be 25.
So, the complete sequence would be: 1, 4, 9, 16, 25, ...