Could you clarify this answer? I understand how you get the first and second differences (and as B-I pointed out you made the typo were -20 should be -10). How do you use these to get the terms in the original sequence? Maybe it's this line that I don't understand...Originally posted by AshG
check the first differences, then the second differences of the sequence.
now sum the ordered pairs from the first and seconds differences. this generates the the subsequent item in the second difference sequence.
this is also true of the second and third differences sequences.
it might be expressable as a non-recursive equation, but i'll have to think about that on the way home.
come to think of it, it probably is.
2, 6, 12, 20, 34, 58, 72, 86, 116
4, 6, 8, 14, 24, 14, 14, 30
2, 2, 6, 10, -20, 0, 16
Can you figure out what the term after 116 is?this generates the the subsequent item in the second difference sequence