Question

use the method of successive differences to determine the next term in the sequence: 4, 14, 82, 268, 657, 1359

Answer 1

The method of successive differences uses subtraction to the one number to the next and the process goes on until the difference settles constant which is not equal to zero. In this case, the constant difference reaches 25. Reversing the process to get the next term, the answer is 2509.