Question

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

Answer 1

Answer:

The common difference is $\frac{1}{5}$ 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 = $\frac{-9}{5}$

Third term     = a₃ = $\frac{-8}{5}$

Fourth term = a₄ = $\frac{-7}{5}$

To Find:

Common Difference = d = ?

Solution:

Formula for Common Difference d ,$\textrm{common difference}= \textrm{Second Term} -\textrm{First Term}=\textrm{Third Term}-\textrm{Second Term}$

$\textrm{common difference} = a_{2}- a_{1}= a_{3}- a_{2}=a_{4}- a_{3}$

∴ $d = \frac{-9}{5}-(-2)\\d=\frac{-9}{5}+2\\d=\frac{1}{5}\\ \therefore d =0.2$

The common difference is $\frac{1}{5}$ or 0.2