Given digits (1,2,3,4)it forms a four digit number. Find the 100th term in the sequence of the consecutive numbers?

To find the 100th term in the sequence of consecutive numbers formed by the digits 1, 2, 3, and 4, we need to determine the pattern in which the numbers are formed.

The numbers are formed by arranging the digits in ascending order from left to right. Since we have 4 digits (1, 2, 3, 4), there are 4! = 24 ways to arrange them.

To find the 100th term, we can divide 100 by 24 to determine how many complete cycles of 24 numbers have passed.

100 ÷ 24 = 4 with a remainder of 4.

This means that the 100th term will be in the 5th cycle of numbers.

To find the position of the 100th term within the 5th cycle, we take the remainder (4) and multiply it by 24 to get 96. This means that the 100th term is the 96th number in the 5th cycle.

To find the specific number, we can list out the numbers in the 5th cycle:

1234
1243
1324
1342
1423
1432
2134
2143
2314
2341
2413
2431
3124
3142
3214
3241
3412
3421
4123
4132
4213
4231
4312
4321

The 96th number in the 5th cycle is 4321.

Therefore, the 100th term in the sequence of consecutive numbers formed by the digits 1, 2, 3, and 4 is 4321.

The first four-digit number is 1234.
The second four-digit number is 1235.
The third four-digit number is 1236.
And so on...
The 100th four-digit number is 1234 + 99 = 1333.
Therefore, the 100th term in the sequence of the consecutive numbers is 1333.