Answer:
See explanation
Step-by-step explanation:
Consider the sequence 10, 6, 2, -2, -4, ...
Rewrite it as
[tex]a_1=10,\\ \\a_2=6,\\ \\a_3=2,\\ \\a_4=-2,\\ \\a_5=-6,...[/tex]
The points on the coordinate plane are
[tex](1,a_1),\ (2,a_2),\ (3,a_3),\ (4,a_4),\ (5,a_5),...[/tex] (see attached graph).
Since
[tex]4=a_2-a_1=a_3-a_2=a_4-a_3=a_5-a_4=...,[/tex] given sequence is arithmetic.
