12.2: Arithmetic Sequences. Position vs. value… Sequence: Notation.

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Presentation transcript:

12.2: Arithmetic Sequences

Position vs. value… Sequence: Notation

a1=a1= a3=a3=

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

Are these sequences arithmetic? Explain.

Find a 8 Find a 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.

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

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.

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.