alg2 day 002 sequences

Algebra 2 Entry TaskA concert hall has 59 seats in row 1,63 seats in row 2, 67 seats in row 3. The concert hall has 35 rows all together.

Create a table, graph, and write an equation that models this situation.

Day 2

Entry Task

The equation ends up being:

How many people seating at the tables...

The table example

p = 2t + 2

Whats the problem?

Returning to table examplep = 2t + 2

There is a difference

Lets use a recursive formula

u1 = 4un = un-1 + 2

Lets use a recursive formula

u1 = 4un = un-1 + 2

Gives us the following sequence of numbers:

4, 6, 8, 10, 12, 14....

From Entry TaskWrite the recursive formula from the entry task example.

Arithmetic Sequences

Sequences in which the pattern is addition or subtraction are called arithmetic sequences

u1 = 48un = un-1 - 5

Something NewWhat is the sequence of black triangles:

Can we write the recursive formula?

Geometric Sequences

Sequences in which the pattern is multiplication are called geometric sequences

u1 = 5un = 3un-1

u1 = 100un = 0.7un-1