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2.6 TLW apply geometric sequence.

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Geometric Sequence multiply a number to get from one term to the next. Quotient between any term and previous is the same. Common ratio: constant between 2 consecutive terms

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General Term

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Example Given geometric sequence 100, 25, 6.25,... What’s r? Find the general term? Find the 4 th term.

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Example

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Find the number of terms in the geometric sequence 0.3, 0.9,..., 53144.1.

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Example

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The value of a car when it was first bought was $45 000. The car loses 20% of its value each year. Calculate the vale of the car after one, two and three years. Find how long it will take for the value of the car to fall below $9000.

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Geometric Series

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Example Use the formula for the sum of the n terms of a geometric sequence to calculate 3 + 9 + 27 + 81 +... to ten terms.

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Example Find the sum of the geometric series 1 + 2 + 4 +... + 1024.

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Example A company is offering Abid a job with an intitial salary of $28 000 and a 4% raise each year after that. This 4% raise continues every year. Find what Abid’s salary will be after five years. Calculate the amount of money that Abid will have earned after 15 years in his career.

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Assignment P. 100-103 #2, 5, 6, 8, 9, 10, 11, 14, 15

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Explicit & Recursive Formulas. A Sequence is a list of things (usually numbers) that are in order. 2 Types of formulas: Explicit & Recursive Formulas.

Explicit & Recursive Formulas. A Sequence is a list of things (usually numbers) that are in order. 2 Types of formulas: Explicit & Recursive Formulas.

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