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Arithmetic Sequences. A sequence which has a constant difference between terms. The rule is linear. Example: 1, 4, 7, 10, 13,… (generator is +3) Arithmetic.

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Presentation on theme: "Arithmetic Sequences. A sequence which has a constant difference between terms. The rule is linear. Example: 1, 4, 7, 10, 13,… (generator is +3) Arithmetic."— Presentation transcript:

1 Arithmetic Sequences

2 A sequence which has a constant difference between terms. The rule is linear. Example: 1, 4, 7, 10, 13,… (generator is +3) Arithmetic Sequences nt(n) 11 24 37 410 513 +3 Discrete

3 First find the generator and the n=0 term. Then write the equation: Ex 1: t(0) is not in the sequence! Do not include it in tables or graphs! Working Backwards for a Rule 36, 32, 28, 24, … 1 2 3 4 40, 0 – 4 Sequences start with n=1 now!

4 Sequence: t(n) Function: f(x) Sequences v Functions Positive Integers (sometimes 0) Can be all Real numbers Domain ( n ) = Domain ( x ) = Can be all Real numbers Range ( f(x) )= DiscreteThe Graph is can be ContinuousThe Graph Range ( t(n) ) = Can be all Real numbers


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