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

1 Answer
Mar 17, 2018

Answer:

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"#