MAZZEO ALGEBRA2Period__Date__/__/___Name__________________________________

11.3B: Students will be able to write rules for arithmetic and geometric sequences. Students will be able to write explicit formulas recursively and recursive formulas explicitly. Group Work: Are the sequences arithmetic or geometric? Are they recursive or explicit? EXPLAIN how you know.A) an=3n−5 B) an=an−1( 23 )

Independent Practice: Using the equations above, convert them to recursive if they are explicit or vice versa.

Group WorkNovice1) Find the 12th term of the geometric

sequence 5, 25, 125, ...2) Find the 54th term of the arithmetic

sequence -2, -8, -14, ...

MAZZEO ALGEBRA2Period__Date__/__/___Name__________________________________

11.3B: Students will be able to write rules for arithmetic and geometric sequences. Students will be able to write explicit formulas recursively and recursive formulas explicitly.

3) Given the sequence 5, 8, 11, 14, 17,… write a recursive and explicit rule for it. Find the 19th term.

Apprentice4) Given that are members

of an arithmetic sequence, write an explicit rule and a recursive rule.

5) Find the 20th term of the arithmetic sequence without finding all terms leading up to it;3x-7, 5x-9, 7x-11,...

6) Which of the following formulas would represent the sequence 10, 20, 40, 80, 160, …Explain why the answer choice is 3 and not 2.

(1) (3)

(2) (4)

Expert7)

MAZZEO ALGEBRA2Period__Date__/__/___Name__________________________________

11.3B: Students will be able to write rules for arithmetic and geometric sequences. Students will be able to write explicit formulas recursively and recursive formulas explicitly.

8) Find the 14th term of the geometric sequence show below without finding all terms leading up to it;

−9 x4 ,45 x9 ,−225 x14 ,…

9) A theatre has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats in the 25th row?

10) Show work to support your answer.

MAZZEO ALGEBRA2Period__Date__/__/___Name__________________________________

11.3B: Students will be able to write rules for arithmetic and geometric sequences. Students will be able to write explicit formulas recursively and recursive formulas explicitly.