$\"\"$

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The first term of an infinite geometric series is $\"\"$ .

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The sum of an infinite geometric series is $\"\"$ .

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Apply sum of an infinite geometric series formula: $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ ) $\"\"$

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Apply multiplication property of equality: If a = b then $\"\"$ .

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$\"\"$ (Multiply each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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$\"\"$ (Multiply each side by 3)

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$\"\"$ (Cancel common terms) $\"\"$

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Distribute terms using distributive property: $\"\"$ .

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$\"\"$ \ \

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$\"\"$ (Multiply: $\"\"$ )

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Apply addition property of equality: if a = b then $\"\"$ .

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$\"\"$ (Add 40 to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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Apply division property of equality: If a = b then $\"\"$ .

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$\"\"$ (Divide each side by 40)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ )

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The common ratio of the series is $\"\"$ . $\"\"$

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The 2nd terms of geometric series is $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ )

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The 3rd terms of geometric series is $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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The 4th terms of geometric series is $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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The first four terms of the series are $\"\"$ .