EOC Review: Explicit & Recursive.

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Presentation transcript:

EOC Review: Explicit & Recursive

Exponential functions match geometric sequences y = a(b)x initial value rate of change (y-intercept) NEXT = b(NOW) Starting value for recursive form is the first term – not y-intercept.

Try creating a table to visualize the patterns. NEXT = 2(NOW) starting at -4 y = _____ (2)x Find the y-intercept by reversing the table.

Example: E#4.1 A geometric sequence is shown: 32, 16, 8, ... How do we know it is exponential? A geometric sequence is shown: 32, 16, 8, ... Which is the explicit formula for this sequence? What is the recursive formula? What is the 6th term?

Example E#4.2 How do we know this is exponential? The recursive formula NEXT = 4 • NOW models the number of people with a virus in a school each week. If there are 36 people infected with the virus after 3 weeks, how many people will be infected after 6 weeks? What is the explicit formula?

You Try! Try making a table to check your patterns & formulas.

Check it E#4.3 The explicit formula A = 2(3)n models the growth of a colony of bunnies in a year. What is the recursive formula for this?

Check it: E#4.4 A sequence is shown: 2, 6, 18, 54, . . . Which recursive formula models the sequence? What is the explicit formula for the sequence? What is the 10th term?

Check it: E#4.5 The recursive formula for a sequence is shown below. NEXT = 2 • NOW, starting at 4 Which explicit formula can be used to determine the value of the nth term in the sequence? What is the 6th term in the sequence?

Check it E#4.6 The explicit formula for a geometric sequence is A = 5(1/2)x . What is the recursive formula? What is the 5th term in the sequence?