What's the Pattern?
Is the following sequence arithmetic, geometric, or neither?
1, 8, 15, 22, ...
arithmetic
An arithmetic sequence begins:
f(1) = 17, f(2) =12
Write a recursive definition for f
f(1)=17, f(n) = f(n-1) - 5, n>2
An arithmetic sequence h starts:
5, 7, 9, ...
Write a definition for the nth term of h.
h(n)=5+2n, n>0
Write the first three terms of a geometric sequence with first term 5 and growth rate 3
5, 25, 125
In Finding Nemo, what kind of fish is Nemo?
A clownfish
Is the following sequence arithmetic, geometric, or neither:
3, 3/2, 3/4, ...
geometric
The geometric sequence g begins 6, 18, ...
Write a recursive definition for g.
g(1)=3, g(n) = 3g(n-1), n>1
A geometric sequence g starts:
4, 6, 9, ...
Write a definition for the nth term of g.
g(n)=4(3/2)n, n>0
Write the first three terms of an arithmetic sequence with first term 0 and common difference -2
0, -2, -4
What is the only letter that does not appear in any United States state name?
Q
Find the growth factor of the geometric sequence:
12, 18, 27, ...
3/2
Geometric sequence k is given by the function
k(1) = 4, k(2) = 24
Define k recursively in function notation.
k(1)=4, k(n) = 6k(n-1), n>1
A sequence h begins
7, 21, 63
Write a definition for the nth term of h
h(n)=7(3)n, n>0
Write the first three terms of the sequence defined by:
g(n) = 1(5)n, n> 0
1, 5, 25
What is the largest desert in the world?
Find the common difference of the arithmetic sequence:
9, 3, -3, -9,...
-6
An nth term definition for geometric sequence g is given by:
g(n) = 2(1/2)n, n > 0
Write a recursive definition for g
g(0)=2, g(n)=g(n-1)(1/2), n>0
A sequence is defined recursively:
s(0)=8, s(n) = 6s(n-1), n > 1
Write an equation to define s for the nth term
s(n)=8(6)n, n>0
Write the first three terms of the sequence:
h(n) = 5 - 3n, n>0
5, 2, -1
What is the hardest natural substance on Earth?
Diamond
Write an example of a sequence that is both arithmetic and geometric
1, 1, 1, 1,...
0, 0, 0, 0,...
or any constant sequence
An nth term definition for arithmetic sequence h is:
h(n) = 6 + 5n, n>0
Write a recursive definition for h
h(0)=6, h(n)=h(n-1)+5, n>0
A sequence is defined recursively:
s(0)=16, s(n) = s(n-1) - 4, n > 2
Write an equation to define s for the nth term
s(n)=16-4n, n>0
Write the first three terms of the sequence:
h(n) = 24(1/2)n, n>0
24, 12, 6
What is the tallest mountain in the world?
Mt. Everest