Ch 8.2.

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Presentation transcript:

Ch 8.2

What is an arithmetic sequence?

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!

You Try!

You Try!

You Try!

Desmos! Picture hanging

Finding the Sum of a Finite Arithmetic Sequence A teacher of German Mathematics Carl Gauss (1777-1855) 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.

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 )

You Try!

You Try!