Tell whether the sequence is arithmetic. If the sequence is arithmetic, write a function rule to represent it.

Question

12, –9, 6, –3, ...

Answer 1

since the terms alternate between positive and negative there is no way there can be a constant difference between terms. So, NOT arithmetic.

T0 = 12
Tn = (-1)^n * (12-3n) for n>0

|Tn| is arithmetic.

Answer 2

Ano ba Ang Tama dito arithmetic or not 2, -4, 6, -8, 10,..