Warm up Write the exponential function for each table. xy 01 15 225 xy 02 13 25 39.

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Presentation transcript:

Warm up Write the exponential function for each table. xy xy

Arithmetic & Geometric Sequences Recursive

Sequences are a list of numbers that form a pattern. What do you notice about the sequences below and how to they relate to what you have learned so far in this unit? -3,0,3,6,9… 1,4,16,64…

Recursive Formula a formula used to find the next term of a sequence when the previous term is known

Recursive Formula for Arithmetic Sequence

Recursive Formula for Geometric Sequence

Find the next term and write the recursive rule. xy n

Find the next term and write the recursive rule. xy n

Find the next term and write the recursive rule. xy n

Explicit Rule The explicit rule is used to find any term in the sequence not just the next one

Explicit Rule for Arithmetic Sequences

Explicit Rule for Geometric Sequences

Find the next term and write the explicit rule. xy n

Write the explicit rule and the recursive rule. a 1 = 15 and d = 5

Write the explicit rule and the recursive rule. a 1 = 4 and r = 0.2

Practice Worksheet Sequences Practice Worksheet #26 #26