Give the next term in the following sequence:
16, 36, 64, 81, 100, ...
16 = 4^2
36 = 6^2
64 = 8^2
81 = 9^2
100 = 10^2
I see no obvious pattern
the 9^2 does not fit the otherwise obvious pattern.
Pattern is squares of non-prime numbers: 4^2 6^2 8^2 9^2 10^2 next term is 12^2= 144
The next term in the sequence can be found by squaring the sequence of perfect squares.
16 squared is 256.
36 squared is 1296.
64 squared is 4096.
81 squared is 6561.
100 squared is 10000.
Therefore, the next term in the sequence is 256.
To find the next term in this sequence, we need to look for a pattern or relationship between the given terms.
By observing the sequence, we can see that the given numbers are all perfect squares.
16 is the square of 4 (4^2 = 16)
36 is the square of 6 (6^2 = 36)
64 is the square of 8 (8^2 = 64)
81 is the square of 9 (9^2 = 81)
100 is the square of 10 (10^2 = 100)
Therefore, the next term in the sequence must be the square of the next natural number, which is 11.
11^2 = 121
So, the next term in the sequence is 121.