Download - 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