Dr. Fowler AFM Unit 7-2 Arithmetic Sequences. Video – Sigma Notation: https://www.youtube.com/watch?v=KdD-HhmMcrc 8 minutes Pay close attention!!

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Presentation transcript:

Dr. Fowler AFM Unit 7-2 Arithmetic Sequences

Video – Sigma Notation: 8 minutes Pay close attention!!

An Arithmetic Sequence is defined as a sequence in which there is a common difference between consecutive terms.

Are the following sequences are arithmetic? If Yes, i dentify the common difference. YES YES YES NO NO

The general form of an ARITHMETIC sequence. First Term: Second Term: Third Term: Fourth Term: Fifth Term: nth Term:

Formula for the nth term of an ARITHMETIC sequence. I f w e k n o w a n y t h r e e o f t h e s e w e o u g h t t o b e a b l e t o f i n d t h e f o u r t h.

Given: Find: IDENTIFYSOLVE

Find the sum of the terms of this arithmetic series.

Find the sum of this series It is not convenient to find the last term.

Find the twenty fourth term of the arithmetic sequence: –3, 0, 3, 6,...

Find the sum: … + 122

Excellent Job !!! Well Done

Stop Notes Do Worksheet

Sum of Sequence on the Graphing Calculator: