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**12.5 Sigma Notation and the nth term**

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**Ex 1 write each expression in expanded form and then find the sum.**

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**Ex 2 express the series using sigma notation**

…+ 61 …+ 143

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**Not all sequences are arithmetic or geometric**

Not all sequences are arithmetic or geometric. Some sequences ar generated by product of consecutive integers. The product n(n – 1)(n – 2)…3 x 2 x 1is called n factorial and symbolized n!. n! = n(n – 1)(n – 2)…1 By definition 0! = 1.

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**Ex 3 express in sigma notation.**

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**Ex 4 express in sigma notation**

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**Ex 5 Write in sigma notation.**

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12.2 – Analyze Arithmetic Sequences and Series. Arithmetic Sequence: The difference of consecutive terms is constant Common Difference: d, the difference.

12.2 – Analyze Arithmetic Sequences and Series. Arithmetic Sequence: The difference of consecutive terms is constant Common Difference: d, the difference.

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