$\"\"$

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The equations are $\"\"$ and $\"\"$ .

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For $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the above equation.

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$\"\"$

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$\"\"$ .

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For $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in the above equation.

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$\"\"$

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$\"\"$ .

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$\"\"$

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Each term of the sequence is found by subtracting $\"\"$ to the succeeding term.

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This sequence can be represented by a linear function that has slope $\"\"$ .

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The equation with the slope $\"\"$ is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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The explicit formula for the recursively defined sequence is $\"\"$ .

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$\"\"$

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The explicit formula for the recursively defined sequence is $\"\"$ .