1 to the first power, 2 to the second power, 3 to the third power, 4 to the fourth power, 5 to the fifth power...
823,543 The pattern is n to the nth power.
256
3125, 46656 This is the sequence I used: * 1 = 11 * 4 = 22 * 27 = 33 * 256 = 44 * 3125 = 55 * 46,656 = 66 * and so on...
A sequence of squares: n to the nth power
46656 as it is 6 to the power of 6. Each in turn is the result of a number to the power of itself.
int main (void) { puts ("1 4 27 256 3125"); return 0; }
44 = 256
823,543 The pattern is n to the nth power.
11 = 1 22 = 4 33 = 27 44 = 256 55 = 3125
256
3125, 46656 This is the sequence I used: * 1 = 11 * 4 = 22 * 27 = 33 * 256 = 44 * 3125 = 55 * 46,656 = 66 * and so on...
27
A sequence of squares: n to the nth power
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).
312511 = 122 = 433 = 2744 = 25655 = 3125
The missing number in the series 1, 4, 27, 3125 can be identified by observing the pattern of powers. Each number corresponds to a base raised to an increasing exponent: (1^1), (2^2), (3^3), and (5^5). Therefore, the missing number, which corresponds to (4^4), is 256.
46656 as it is 6 to the power of 6. Each in turn is the result of a number to the power of itself.