Recursive rules and patterns

Define each term from the previous ones and translate between recursive and explicit forms.

Standards:F-IF.A.3F-BF.A.2

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

A sequence follows the rule: each term is 3 times the previous term, minus 2. If the first term is 5, what is the fourth term?

Question 2 of 3

A sequence is defined by: a₁ = 3, and aₙ = 2aₙ₋₁ + 1 for n ≥ 2. Find a₄.

Question 3 of 3

A sequence begins: 3, 6, 12, 24, ... Each term is found by multiplying the previous term by 2. What is the 6th term?

How this fits in

Recursive rules and patterns is one skill in the Sequences & Series unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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