Answer:
The common difference is [tex]\frac{1}{5}[/tex] or 0.2
Step-by-step explanation:
Given:
Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,
First term = a₁ = -2
Second 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
