Arithmetic Sequence
Geometric Sequence
Recursive Function
Explicit Equation
& others
100
What is the common difference of the arithmetic sequence 5, 8, 11, 14?

3

100

What is the growth factor (common ratio) for the following sequence?

4,   -12,   36,   -108

-3

100

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.

100

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

200

In an arithmetic sequence, the first term is 4 and the third term is -2. What is the common difference?

-3

200

The common ratio of the sequence: -1/2,  3/4,  -9/8 is ____. 

-3/2

200

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

200

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

300

The first term in a sequence is 5 and the fifth term is 17. What is the common difference?

3

300

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

300

Find the second term if a1=5,  an= 3+2an-1.

13

300

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

400

What is the common difference of the arithmetic sequence below?

-7x,  -4x,  -x,  2x,  5x, ...

4

400

If x is not equal to 0, then the common ratio of the sequence x,  2x2,  4x3,  8x4,  16x5, ... is ___.

2x

400

Given f(1) = 5, f(n) = 2 f(n-1) -7  for n >1, find the value of f(4).

-9

400

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

500

What is the common difference in the sequence 2a+1,  4a+4,  6a+7,  8a+10, ...?

2a+3

500

What is the growth factor of the sequence ab3, a3b4, a5b5, ...?

a2b

500

Given a1=6, and an=3+2(an-1)2 for n>1, find the value of the second term.

75

500

If a1=1, an=n(an-1) for n>1, what is the value of a5?

120

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