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12.2: Arithmetic Sequences

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Position vs. value… Sequence: Notation

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a1=a1= a3=a3=

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What is the pattern? What are the next three terms? Arithmetic Sequence: Common difference (d): +3

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Are these sequences arithmetic? Explain.

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Find a 8 Find a 104 +3 The explicit formula for an Arithmetic Sequence: Where a n is the value of the n th term, a 1 is the value of the first term, n is the number of terms, and d is the common difference.

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a)Find a formula for the n th term of the sequence. b)Use your formula to find a 17.

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One term of an arithmetic sequence is a 27 = 263. The common difference for the sequence is d = 11. Find a rule for the n th term of the sequence.

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Two terms of an arithmetic sequence are a 10 = 148 and a 44 = 556. Find a rule for the n th term of the sequence.

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