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Ch 8.2
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What is an arithmetic sequence?
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You Try. Just talk out (don’t need to write down)
You Try! Just talk out (don’t need to write down). I will call on random people!
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You Try!
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You Try!
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You Try!
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Desmos! Picture hanging
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Finding the Sum of a Finite Arithmetic Sequence
A teacher of German Mathematics Carl Gauss ( ) asked him to find the sum of all the integers from 1 to 100. To the astonishment of his teacher, Gauss came up with the answer in only a few moments. Here’s what he did: Talk to your partners about what Gauss’s thought process was. Then write a formula for the Sum of the first n terms of an arithmetic sequence. You can verify your formula by finding the sum of the first 10 integers both by counting and by the formula.
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The Sum of a FINITE Arithmetic Sequence
The following formula helps reduce the amount of time it takes to find the sum of an arithmetic sequence. 𝑺 𝒏 = 𝒏 𝟐 ( 𝒂 𝟏 + 𝒂 𝒏 )
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You Try!
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You Try!
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