Question

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

Answer 1

Example:
1,4,9,16,...
find the first differences
4-1,9-4,16-9,...=3,5,7
find the second differences
5-3,7-5,...=2,2
keep doing this until u get until the level of difference where the terms are the same and not 0.
1 , 4 , 9 , 16 , x
3 , 5 , 7 , 9
2 , 2 , 2
x=16+9=25
so the next term is 25 for this example, try it with ur question

Answer 2

also, the 9 in the first differences came from 7 + 2

Answer 3

I am still confused