HSF-BF.A.2 Assessment
Developed by Wonhee Jung using ChaptGPT for his Algebra 2 students at ODLH
Task 1
Write an equation to define the sequence recursively.
n f(n)
Task 2
Write an explicit equation that defines the nth term of function f for a sequence defined by...
Task 3a
Write an equation to define the sequence explicitly (for the nth term of the sequence).
n f(n)
Task 3b
Write an equation equivalent to your equation from 3a by applying the Distributive Property.
Task 4
Write an equation to define the sequence recursively.
n f(n)
Task 5a
Write an equation to define the sequence explicitly (for the nth term) and recursively.
n f(n)
Task 5b
If n in the sequence for Task 5a represents the number of students in Mr. Jung's classroom, then what is a reasonable domain for the function?
Task 6a
Write an explicit equation (for the nth term) for an arithmetic sequence if the first two numbers in a sequence are...
Task 6b
Write an explicit equation (for the nth term) for a geometric sequence if the first two numbers in a sequence are the same as for Task 6a.
Task 7a
Write an equation to define the sequence explicitly (for the nth term).
n f(n)
Task 7b
Write an equation to define the sequence explicitly (for the nth term).
n f(n)
Task 7c
Which sequence will grow larger? The sequence from Task 7a or the sequence from Task 7b? Calculate the value for some large nth term.