$\"\"$

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The sequence is $\"\"$

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The first term of the sequence is $\"\"$ . So, $\"\"$ .Now find the common ratio.

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Find the ratios of consecutive terms.

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$\"\"$

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The ratios are constant, so sequence is geometric.

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The common ratio is $\"\"$ . $\"\"$

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n th term of a geometric sequence: $\"\"$ .

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Find the nth term of this sequence.

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

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Find the ninth term of this sequence.

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

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Apply powers of product property: $\"\"$ )

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ (Evaluate powers: $\"\"$ )

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

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

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The ninth term of this sequence is $\"\"$ .

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