Study the following example and try finding out what the young Gaue had done. S denotes the sum of the terms. S, =1+2+3+4+5+6+7+8+9 S, = 9+8+7+6+5+4+3+2+1 2S, = 10+10+10+10+10+10 +10+10+10 %3D 2S, = 9x10 S, 345 Use the example above to deduce Gauss's theorem for the first 99

Study the following example and try finding out what the young Gaue had done. S denotes the sum of the terms. S, =1+2+3+4+5+6+7+8+9 S, = 9+8+7+6+5+4+3+2+1 2S, = 10+10+10+10+10+10 +10+10+10 %3D 2S, = 9x10 S, 345 Use the example above to deduce Gauss's theorem for the first 99

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Description: Study the following example and try finding out what the young Gausshad done. S denotes the sum of the terms.S, =1+2+3+4+5+6+7+8+9S, =9+8+7+6+5+4+3+2+12S, = 10+10+10+10+10+10 +10+10+102S, = 9x10S, = 45Use the example above to deduce Gauss's theorem

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Study the following example and try finding out what the young Gauss
had done. S denotes the sum of the terms.
S, =1+2+3+4+5+6+7+8+9
S, =9+8+7+6+5+4+3+2+1
2S, = 10+10+10+10+10+10 +10+10+10
2S, = 9x10
S, = 45
Use the example above to deduce Gauss's theorem for the first 99
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