Arithmetic Sequence
3
What is the growth factor (common ratio) for the following sequence?
4, -12, 36, -108
-3
Which recursive function can represent the sequence:
2, 5, 8, 11, ...?
a. f(1) = 2, f(n) = 3 + f(n-1) for n >= 2
b. f(1) =2, f(n) = 3 + (n-1) for n > = 2
a.
Given a sequence -3, -1, 1, 3, ..., find the explicit equation to represent the sequence.
a. f(1) = -3, f(n) = f(n-1) +2 for n >1
b. f(n) = -3 +2(n-1) for n >=1
b
In an arithmetic sequence, the first term is 4 and the third term is -2. What is the common difference?
-3
The common ratio of the sequence: -1/2, 3/4, -9/8 is ____.
-3/2
Which one can represent the sequence -2, 1, -1/2, 1/4, ...?
a. a1=-2, an= -2 an-1, for n >=2
b. a1=-2, an= -0.5 an-1, for n >=2
b
Which explicit equation can represent the sequence: 4, 16, 64, 256, ...?
a. f(n) = 4n, for n>=1
b. f(n) = 4n-1, for n>=1
a
The first term in a sequence is 5 and the fifth term is 17. What is the common difference?
3
What is a common ratio of the geometric sequence whose first term is 5 and the third term is 245?
a. 7 b. 49. c. 120. d. 240
a. 7
Find the second term if a1=5, an= 3+2an-1.
13
Write the first 4 terms, if f(1) = 0.5, and f(n) = 1-f(n-1) for n > 2.
0.5, 0.5, 0.5, 0.5
What is the common difference of the arithmetic sequence below?
-7x, -4x, -x, 2x, 5x, ...
4
If x is not equal to 0, then the common ratio of the sequence x, 2x2, 4x3, 8x4, 16x5, ... is ___.
2x
Given f(1) = 5, f(n) = 2 f(n-1) -7 for n >1, find the value of f(4).
-9
Which function can represent the sequence: 1, 3, 6, 10?
a. f(1) =1, f(n) = f(n-1) + 2 for n > 1
b. f(1) = 1, f(n) = 3f(n-1) for n > 1
c. f(1) =1, f(n) = f(n-1) +n for n >1
c
What is the common difference in the sequence 2a+1, 4a+4, 6a+7, 8a+10, ...?
2a+3
What is the growth factor of the sequence ab3, a3b4, a5b5, ...?
a2b
Given a1=6, and an=3+2(an-1)2 for n>1, find the value of the second term.
75
If a1=1, an=n(an-1) for n>1, what is the value of a5?
120