Find a common difference of the arithmetic sequence -2, -1 4/5, -1 3/5, -1 2/5,

Answer:The common difference is [tex]\frac{1}{5}[/tex] or 0.2Step-by-step explanation:Given:Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,First term      = a₁ = -2Second term = a₂ = [tex]\frac{-9}{5}[/tex]Third term     = a₃ = [tex]\frac{-8}{5}[/tex]Fourth term = a₄ = [tex]\frac{-7}{5}[/tex]To Find:Common Difference = d = ?Solution:Formula for Common Difference d ,[tex]\textrm{common difference}= \textrm{Second Term} -\textrm{First Term}=\textrm{Third Term}-\textrm{Second Term}[/tex][tex]\textrm{common difference} = a_{2}- a_{1}= a_{3}- a_{2}=a_{4}- a_{3}[/tex]∴ [tex]d = \frac{-9}{5}-(-2)\\d=\frac{-9}{5}+2\\d=\frac{1}{5}\\ \therefore d =0.2\\[/tex] The common difference is [tex]\frac{1}{5}[/tex] or 0.2