$\"\"$

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The sequence is $\"\"$ .

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The $\"\"$ term of the sequence is $\"\"$ .

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$\"\"$ .

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(a)

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Find the first six terms of the sequence.

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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The first six terms of the sequence are $\"\"$ .

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$\"\"$

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(b) Find the compounded interest after $\"\"$ years.

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The $\"\"$ term of the sequence is equal to compounded interest after $\"\"$ years.

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Find the $\"\"$ term of the sequence.

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The $\"\"$ term of the sequence is $\"\"$ .

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If $\"\"$ then $\"\"$ .

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Therefore, the compound interest after $\"\"$ years is $\"\"$ .

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$\"\"$

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(c) Find the compounded interest after $\"\"$ years.

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The $\"\"$ term of the sequence is equal to compounded interest after $\"\"$ years.

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Find the $\"\"$ term of the sequence.

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The $\"\"$ term of the sequence is $\"\"$ .

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If $\"\"$ then $\"\"$ .

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Therefore, the compound interest after $\"\"$ years is $\"\"$ .

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$\"\"$

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(a) The first six terms of the sequence are

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$\"\"$ .

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(b) The compound interest after $\"\"$ years is $\"\"$ .

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(c) The compound interest after $\"\"$ years is $\"\"$ .