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Presentation transcript:

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· · · The sum of a Sequence of numbers

The sum of a Sequence of numbers

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Greek Letter for the letter S Which stands for SUM

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Writing Sigma Notation from a given series.

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When writing Sigma Notation from a given series.

· · · Express this series using Sigma Notation

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= 84

Carl Friedrich Gauss was born April 30, 1777, in Brunswick, Germany. He published over 150 works and made such important contributions as the fundamental theorem of algebra, the least squares method, Gauss-Jordan elimination, and the bell curve, or Gaussian error curve. He also made important contributions to physics and astronomy. Carl Friedrich Gauss

There is a well known story about Karl Friedrich Gauss when he was in elementary school. Carl Friedrich Gauss His teacher got mad at the class When he was 8 years old

Carl Friedrich Gauss His teacher told the class to add the numbers 1 to 100 and give him the answer by the End of the Class. When he was 8 years old

Carl Friedrich Gauss About 30 seconds later Gauss gave him the answer When he was 8 years old

Let this sequence represent the sum of the numbers from 1 to 100.

Represent the sum of the numbers from 1 to 100.

Represent the sum of the numbers from 1 to 100

The First TermThe Last Term

Represents the sum of the first n terms of the series

Find the indicated partial sum We Need

Find the indicated partial sum

We Need

Find the indicated partial sum