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Geometric Sequences and Series

Geometric Sequences and Series. Essential Questions. How do we find the terms of an geometric sequence, including geometric means? How do we find the sums of geometric series?. Holt McDougal Algebra 2. Holt Algebra 2.

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Geometric Sequences and Series

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  1. Geometric Sequences and Series Essential Questions • How do we find the terms of an geometric sequence, including geometric means? • How do we find the sums of geometric series? Holt McDougal Algebra 2 Holt Algebra 2

  2. Geometric meansare the terms between any two nonconsecutive terms of a geometric sequence.

  3. Finding Geometric Means Find the geometric mean of each pair of numbers. Use the formula. Use the formula.

  4. The indicated sum of the terms of a geometric sequence is called a geometric series. You can find the partial sum of a geometric series using the following formula.

  5. Finding the Sum of a Geometric Series Find the indicated sum for the geometric series.

  6. Finding the Sum of a Geometric Series Find the indicated sum for the geometric series.

  7. Finding the Sum of a Geometric Series Find the indicated sum for the geometric series.

  8. Finding the Sum of a Geometric Series Find the indicated sum for the geometric series.

  9. You can also find the entire sum of a geometric series using the following formula. Sum of an Infinite Geometric Series The sumof an infinite geometric series is where a1 is the first term and r is the common ratio.

  10. Finding the Sum of a Geometric Series Find the sum of the infinite geometric series, if it has one.

  11. Finding the Sum of a Geometric Series Find the sum of the infinite geometric series, if it has one.

  12. Finding the Sum of a Geometric Series Find the sum of the infinite geometric series, if it has one.

  13. Finding the Sum of a Geometric Series Find the sum of the infinite geometric series, if it has one.

  14. Lesson 5.3 Practice B

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