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# 5.6 - next 2 terms in the sequence 11 23 35 47 … 8 3-2-7...

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Section 5.6 Describing Number Patterns

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Warm-up Graph  3 ) ( + - = x x h
Our Goals for today  Use inductive reasoning to determine  number patterns Write rules for arithmetic sequences Inductive Reasoning –  Conjecture -

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Describe the pattern and find the next 2  terms 4, 16, 64, 256, …  1, 1, 2, 3, 5, 8, 13, 21, …  5, 0, -5, -10, -15, -20, … 1, 4, 9, 16, 25, 36, 49,…
More definitions A number pattern is also called a  sequence.  A term is a number in the  sequence. Arithmetic Sequence –  Common difference -

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Find the common difference and the

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Unformatted text preview: next 2 terms in the sequence. 11, 23, 35, 47, … 8, 3, -2, -7, … 5, 8, 12, 15, 18, 21, … 21, 34, 47, 60, … But what if I wanted to find the 30 th or 125 th term? d n a n A ) 1 ( ) (-+ = Find the 1 st , 3 rd , 10 th , and 50 th terms. ) 3 )( 1 ( 5 ) (-+-= n n A ) 5 )( 1 ( 6 ) (-+ = n n A One more… Find the 1 st and 50 th terms 4, 7, 10, 13, … Homework # ___ Test on ______ 270 (1-3 odd 7-29 odd)...
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