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Eduardwww [97]
3 years ago
10

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

Mathematics
1 answer:
elixir [45]3 years ago
6 0

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

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