IA1.AT.D.13: Analyze and model arithmetic and geometric sequences using recursive and explicit representations. a. Identify whether a sequence is arithmetic or geometric and create an explicit rule to describe the pattern. b. Rewrite a recursive representation of an arithmetic or geometric sequence to an explicit rule. c. Model contexts involving arithmetic or geometric patterns using an explicit or recursive rule, and use the rule to solve problems.

Analyze and model arithmetic and geometric sequences using recursive and explicit representations. a. Identify whether a sequence is arithmetic or geometric and create an explicit rule to describe the pattern. b. Rewrite a recursive representation of an arithmetic or geometric sequence to an explicit rule. c. Model contexts involving arithmetic or geometric patterns using an explicit or recursive rule, and use the rule to solve problems.

Example Problems

f(1) = 3

and

f(x) = f(x - 1) - 8

Find the 5th term in the sequence.

f(1) = 4

and

f(x) = f(x - 1) + 6

Find the 5th term in the sequence.

f(1) = 6

and

f(x) = f(x - 1) - 5

Find the 5th term in the sequence.

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