'81'
Hence
3^(0) = 1
3(1) = 3
3^(2) = 9
3^(3) = 37
3^(4) = 81
3^(5) = 243
3^(n) depending on the numerical position of 'n'.
243
n3
343.
The next term is 91. The sequence differences are: 875 - 874 = 1 = 13 874 - 866 = 8 = 23 866 - 839 = 27 = 33 839 - 775 = 64 = 43 775 - 650 = 125 = 53 650 - 434 = 216 = 63 The next difference is 73 (= 343) which is subtracted from 434 to get the next term: 434 - 343 = 91 The sequence is defined as: U1 = 875 Un+1 = Un - n3 for n > 1
1 8 27 64 125 216 343
The pattern in the sequence 1, 4, 27, 256 is based on powers of integers: (1 = 1^1), (4 = 2^2), (27 = 3^3), and (256 = 4^4). Each term corresponds to the cube of its position in the sequence, where (n^n) represents the (n)-th term. Thus, the next number in the sequence would be (5^5 = 3125).
The next one is 125.
81
The sequence is generated using cubes, or n^3. The next number in the sequence will be 4^3, or 256.
If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.
125 (the sequence is successive numbers cubed)
243
64. It's the sequence f(n) = n^3
n3
g
3
343.