What is the next term?
A sequence begins 1, 2, 4, 8. What is the next term?
16
A sequence that adds the same number to the previous term to produce the next term is what type of sequence?
Arithmetic
A sequence is defined by f(0)=1, and f(n)=f(n-1)+6. What are the first three terms?
1, 7, 13
A geometric sequence g starts 1, 3, 9, 81. Write the explicit definition for the sequence.
g(n)=3^n for n is greater or equal to 0.
27
A sequence that adds the previous two terms to produce the next term is what sort of sequence?
Neither
A sequence g has the first four terms 3, 6, 12, 24. What is the recursive definition?
g(n)=2*g(n-1), g(0)=3, for n is greater or equal to 1
b(n)=2+(4*n) for n is greater or equal to 0
An arithmetic sequence begins with 1, 5. What are the next three terms?
A sequence that multiplies the previous term by the same number to produce the next term is what type of sequence?
Geometric
A sequence f has the first four terms 14, 17, 20, 23. What is a recursive definition of this sequence?
f(1)=14, f(n)=f(n-1)+3 for n greater or equal to 2
Step 1 of a pattern shows 1 square. Step 2 shows 4 squares. Step 3 shows 7 squares. What is one explicit definition of this sequence?
A geometric sequence starts with 1, 5. What are the next three terms?
25, 125, 625
A sequence starts 1, 17, 33, 49. What type of sequence is this?
Arithmetic
Write a recursive definition for the sequence a(n), which starts with the terms 1, 4, 13, 40.
a(1)=1, a(n)=3*a(n-1)+1 for n is greater or equal to 2
13, 21, 34
A sequence starts 1, 4, 9, 16. What sort of sequence is this?
Neither
f(1)=1, f(2)=1, f(n)=f(n-1)+f(n-2) for n greater or equal to 3