What is the next number?
1 1 2 4 3 9 4
16
The answer is 16, 1 squared is 1, 2 squared is 4, 3 squared is 9 so 4 squared is 16, hence 1,1,2,4,3,9,4...16
To find the next number in the given sequence, let's analyze the pattern:
1, 1, 2, 4, 3, 9, 4
Looking closely, we can see that the sequence alternates between two different patterns.
In the first pattern, the numbers increase by 1 each time: 1, 2, 3, 4.
In the second pattern, each number is the square of its respective position: 1^2, 2^2, 3^2.
Combining both patterns, we can determine the next numbers:
The next number after 1 is 2 (continuing the pattern of increasing by 1).
The next number after 2 is 4 (continuing the pattern of squaring and obtaining 4).
Therefore, the next number in the sequence is 4.