# How do you tell whether the sequence 0, -5, -10, -12, -20 is arithmetic?

Mar 17, 2018

Since the difference between the successive terms is not uniformly equal, color(red)(" it is not an Arithmetic Sequence"

#### Explanation:

Given ${a}_{1} = 0 , {a}_{2} = - 5 , {a}_{3} = - 10 , {a}_{4} = - 12 , {a}_{5} = - 20$

a_2 - a_1 = -5 - 0 =color(red)( -5

a_3 - a_2 = - 10 - (-5) = color(red)(-5

a_4 - a_3 = -12 - (-10) =color(red)( -2

a_5 - a_4 = -20 - (-12) = color(red)(-8

Since the difference between the successive terms is not uniformly equal, color(red)(" it is not an Arithmetic Sequence"