help for sequences
Changing difference sequence formula
a + (n-1)d + 0.5(n-1)(n-2)C
Where -
a = the first term
d = the first difference
C = The difference increase.
an example of its use-
sequence: 3, 5, 9, 15, 24, ...
a + (n-1)d + 0.5(n-1)(n-2)C
3 + (n-1)2 + 0.5(n-1)(n-2)2
3 + 2n - 2 + n2 - 2n - n + 2
= 3 + n2 - n
Proof, by finding the 4th term:
3 + n2 - n
3 + 16 - 4