what is the next number in the sequence 4 9 25 49
The numbers are the square of 2,3,4,5 and 7. Did you leave 36 out?
Maybe the sequence is squares of primes, since 4^2 and 6^2 are both missing.
To find the next number in a sequence, we need to identify the pattern or rule that governs the sequence. Let's examine the given sequence.
The sequence provided is: 4, 9, 25, 49.
Observing the sequence, we can see that each number is the square of a specific value.
The first number, 4, is equal to 2^2 (2 squared).
The second number, 9, is equal to 3^2 (3 squared).
The third number, 25, is equal to 5^2 (5 squared).
The fourth number, 49, is equal to 7^2 (7 squared).
Therefore, the pattern is that each number in the sequence is obtained by squaring consecutive odd numbers.
Following this pattern, the next odd number after 7 is 9. So, squaring 9, we get 81.
Therefore, the next number in the sequence is 81.
To summarize, the rule for this sequence is that each number is obtained by squaring consecutive odd numbers, and the next number after 49 is 81.