Recursive or Closed?
Is the following function recursive or closed:
g(n) = 3*g(n-1)
Recursive
Write a recursive function, f, for the following sequence: 1, 2, 3, 4, 5, ... where f(0) = 1
f(n)=1+f(n-1) where
n>=1
Write a closed form (non-recursive) function, f, for the following sequence: 1, 2, 3, 4, 5, ... where f(0) = 1
f(n)=n+1
What kind of sequence is the following (Arithmetic, Geometric, Neither): 1, 4, 9, 16
Neither
How many times was Mr. M spotted in the wild over the summer (and interacted with the student who saw him)
1
Is the following function recursive or closed:
f(t)=36*(1/2)^t
Closed
Write a recursive function, f, for the following sequence: 1, 2, 4, 8, 16, ... where f(1) = 1
f(n)=2*f(n-1) where
n>=2
Write a closed form (non-recursive) function, f, for the following sequence: 1, 2, 4, 8, 16, ... where f(1) = 1
f(n) = 1 * 2^(n-1)
What kind of sequence is the following (Arithmetic, Geometric, Neither): 2, 4, 8, 16, 32
Geometric
What is Mr. M's favorite color
GREEN
Is the following function recursive or closed:
f(n) = 3+n
Closed
Write a recursive function, f, for the following sequence: 1, 5, 9, 13, 17, ... where f(1)=1
f(n)=4+f(n-1) where
n>=2
Write a closed form (non-recursive) function, f, for the following sequence: 1, 5, 9, 13, 17, ... where f(1)=1
f(n)=4(n-1)+1
What kind of sequence is the following (Arithmetic, Geometric, Neither):
f(n) = 3n+1
This is a linear equation so the sequence is arithmetic
How many days early did Mr. M come in before teachers were required to be back?
5
Is the following function recursive or closed:
f(n) = 3* 2^(n-1)
Closed - remember that n-1 doesn't mean the term before, f(n-1) does!
Write a recursive function, f, for the following sequence: 10, 5, 2.5, 1.25, ... where f(0) = 10
f(n)=1/2*f(n-1) where
n>=1
Write a closed form (non-recursive) function, f, for the following sequence: 10, 5, 2.5, 1.25, ... where f(0) = 10
f(n) = 10*(1/2)^n
What kind of sequence is the following (Arithmetic, Geometric, Neither):
f(n) = 2 * f(n-1)
Geometric
How many DIFFERENT classes does Mr. M teach this year?
2! Algebra 2 and Theme Park
Is the following function recursive or closed:
t(x) = 3+ 2[t(x-2)]
Since each term relies on the 2 terms ago, the t(n-2) it is recursive!
Write a recursive function, f, for the following sequence: 9, 3, 1, 0.33, ... where f(1) = 9
f(n)=1/3 *f(n-1) where
n>=2
Write a closed form (non-recursive) function, f, for the following sequence: 9, 3, 1, 0.33, ... where f(1) = 9
f(n) = 9*(1/3)^(n-1)
What kind of sequence is the following (Arithmetic, Geometric, Neither):
g(n)=2*3^n
This is an exponential equation so the sequence is geometric
What is Mr. M's favorite local fast food place?
Wendys